202125913228800 has 1620 divisors, whose sum is σ = 825670277019588. Its totient is φ = 48997757952000.

The previous prime is 202125913228787. The next prime is 202125913228807. The reversal of 202125913228800 is 8822319521202.

202125913228800 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 2 + 591 + 32 + 28 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a super-2 number, since 2×202125913228800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202125913228807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 10161666855 + ... + 10161686745.

Almost surely, 2^{202125913228800} is an apocalyptic number.

202125913228800 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 202125913228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412835138509794).

202125913228800 is an abundant number, since it is smaller than the sum of its proper divisors (623544363790788).

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

202125913228800 is an frugal number, since it uses more digits than its factorization.

202125913228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19965 (or 19912 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 202125913228800 in words is "two hundred two trillion, one hundred twenty-five billion, nine hundred thirteen million, two hundred twenty-eight thousand, eight hundred".