90552176640 has 416 divisors, whose sum is σ = 325967725440. Its totient is φ = 23844225024.

The previous prime is 90552176629. The next prime is 90552176647. The reversal of 90552176640 is 4667125509.

90552176640 is a `hidden beast` number, since 90 + 552 + 1 + 7 + 6 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (90552176647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45894694 + ... + 45896666.

Almost surely, 2^90552176640 is an apocalyptic number.

90552176640 is a gapful number since it is divisible by the number (90) 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 90552176640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162983862720).

90552176640 is an abundant number, since it is smaller than the sum of its proper divisors (235415548800).

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

90552176640 is a wasteful number, since it uses less digits than its factorization.

90552176640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 90552176640 in words is "ninety billion, five hundred fifty-two million, one hundred seventy-six thousand, six hundred forty".