90694107033600 has 1248 divisors, whose sum is σ = 362107434434560. Its totient is φ = 19564167168000.

The previous prime is 90694107033599. The next prime is 90694107033623. The reversal of 90694107033600 is 633070149609.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 90694107033600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11072405505 + ... + 11072413695.

Almost surely, 2^{90694107033600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90694107033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181053717217280).

90694107033600 is an abundant number, since it is smaller than the sum of its proper divisors (271413327400960).

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

90694107033600 is a wasteful number, since it uses less digits than its factorization.

90694107033600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8525 (or 8498 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 48.

The spelling of 90694107033600 in words is "ninety trillion, six hundred ninety-four billion, one hundred seven million, thirty-three thousand, six hundred".