83615738162400 has 1152 divisors, whose sum is σ = 316115946034560. Its totient is φ = 21311803883520.

The previous prime is 83615738162393. The next prime is 83615738162447. The reversal of 83615738162400 is 426183751638.

83615738162400 is a `hidden beast` number, since 8 + 3 + 6 + 1 + 5 + 7 + 3 + 8 + 1 + 624 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10620564864 + ... + 10620572736.

It is an arithmetic number, because the mean of its divisors is an integer number (274406203155).

Almost surely, 2^{83615738162400} is an apocalyptic number.

83615738162400 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 83615738162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158057973017280).

83615738162400 is an abundant number, since it is smaller than the sum of its proper divisors (232500207872160).

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

83615738162400 is a wasteful number, since it uses less digits than its factorization.

83615738162400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8173 (or 8154 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 83615738162400 in words is "eighty-three trillion, six hundred fifteen billion, seven hundred thirty-eight million, one hundred sixty-two thousand, four hundred".