90372503789568 has 6048 divisors, whose sum is σ = 405069292293120. Its totient is φ = 19865154355200.

The previous prime is 90372503789527. The next prime is 90372503789573. The reversal of 90372503789568 is 86598730527309.

It is a happy number.

90372503789568 is a `hidden beast` number, since 9 + 0 + 3 + 7 + 2 + 50 + 3 + 7 + 8 + 9 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 90372503789496 and 90372503789505.

It is a congruent number.

It is an unprimeable number.

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 431 ways as a sum of consecutive naturals, for example, 2915242057713 + ... + 2915242057743.

Almost surely, 2^{90372503789568} is an apocalyptic number.

90372503789568 is a gapful number since it is divisible by the number (98) 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 90372503789568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202534646146560).

90372503789568 is an abundant number, since it is smaller than the sum of its proper divisors (314696788503552).

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

90372503789568 is a wasteful number, since it uses less digits than its factorization.

90372503789568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 90372503789568 in words is "ninety trillion, three hundred seventy-two billion, five hundred three million, seven hundred eighty-nine thousand, five hundred sixty-eight".