90151757701632 has 960 divisors, whose sum is σ = 297106766985600. Its totient is φ = 26071966679040.

The previous prime is 90151757701589. The next prime is 90151757701667. The reversal of 90151757701632 is 23610775715109.

90151757701632 is a `hidden beast` number, since 9 + 0 + 1 + 5 + 1 + 7 + 577 + 0 + 1 + 63 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97041719344 + ... + 97041720272.

It is an arithmetic number, because the mean of its divisors is an integer number (309486215610).

Almost surely, 2^{90151757701632} 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 90151757701632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148553383492800).

90151757701632 is an abundant number, since it is smaller than the sum of its proper divisors (206955009283968).

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

90151757701632 is a wasteful number, since it uses less digits than its factorization.

90151757701632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 2778300, while the sum is 54.

The spelling of 90151757701632 in words is "ninety trillion, one hundred fifty-one billion, seven hundred fifty-seven million, seven hundred one thousand, six hundred thirty-two".