83955192921600 has 5760 divisors, whose sum is σ = 399987859138560. Its totient is φ = 15073070284800.

The previous prime is 83955192921583. The next prime is 83955192921637. The reversal of 83955192921600 is 612929155938.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 865517452752 + ... + 865517452848.

It is an arithmetic number, because the mean of its divisors is an integer number (69442336656).

Almost surely, 2^{83955192921600} is an apocalyptic number.

83955192921600 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 83955192921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199993929569280).

83955192921600 is an abundant number, since it is smaller than the sum of its proper divisors (316032666216960).

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

83955192921600 is a wasteful number, since it uses less digits than its factorization.

83955192921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 60.

The spelling of 83955192921600 in words is "eighty-three trillion, nine hundred fifty-five billion, one hundred ninety-two million, nine hundred twenty-one thousand, six hundred".