201553920000 has 750 divisors, whose sum is σ = 755549481148. Its totient is φ = 53747712000.

The previous prime is 201553919951. The next prime is 201553920013. The reversal of 201553920000 is 29355102.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

201553920000 is a `hidden beast` number, since 20 + 1 + 553 + 92 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (750).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 40310783998 + ... + 40310784002.

Almost surely, 2^201553920000 is an apocalyptic number.

201553920000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201553920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377774740574).

201553920000 is an abundant number, since it is smaller than the sum of its proper divisors (553995561148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201553920000 is an frugal number, since it uses more digits than its factorization.

201553920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Multiplying 201553920000 by its sum of digits (27), we get a square (5441955840000 = 2332800²).

201553920000 divided by its sum of digits (27) gives a square (7464960000 = 86400²).

Multiplying 201553920000 by its product of nonzero digits (2700), we get a square (544195584000000 = 23328000²).

201553920000 divided by its product of nonzero digits (2700) gives a square (74649600 = 8640²).

The spelling of 201553920000 in words is "two hundred one billion, five hundred fifty-three million, nine hundred twenty thousand".