83201955840 has 576 divisors, whose sum is σ = 309623277600. Its totient is φ = 21403533312.

The previous prime is 83201955821. The next prime is 83201955913. The reversal of 83201955840 is 4855910238.

83201955840 is a `hidden beast` number, since 83 + 2 + 0 + 19 + 558 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72160704 + ... + 72161856.

Almost surely, 2^83201955840 is an apocalyptic number.

83201955840 is a gapful number since it is divisible by the number (80) 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 83201955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154811638800).

83201955840 is an abundant number, since it is smaller than the sum of its proper divisors (226421321760).

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

83201955840 is a wasteful number, since it uses less digits than its factorization.

83201955840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 83201955840 in words is "eighty-three billion, two hundred one million, nine hundred fifty-five thousand, eight hundred forty".