90689501952 has 864 divisors, whose sum is σ = 327843210240. Its totient is φ = 23551672320.

The previous prime is 90689501933. The next prime is 90689501953. The reversal of 90689501952 is 25910598609.

90689501952 is a `hidden beast` number, since 9 + 0 + 6 + 89 + 501 + 9 + 52 = 666.

It is not an unprimeable number, because it can be changed into a prime (90689501953) by changing a digit.

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, 1018983124 + ... + 1018983212.

It is an arithmetic number, because the mean of its divisors is an integer number (379448160).

Almost surely, 2^90689501952 is an apocalyptic number.

90689501952 is a gapful number since it is divisible by the number (92) 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 90689501952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163921605120).

90689501952 is an abundant number, since it is smaller than the sum of its proper divisors (237153708288).

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

90689501952 is a wasteful number, since it uses less digits than its factorization.

90689501952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 90689501952 in words is "ninety billion, six hundred eighty-nine million, five hundred one thousand, nine hundred fifty-two".