90554250672 has 400 divisors, whose sum is σ = 279227440800. Its totient is φ = 28287221760.

The previous prime is 90554250649. The next prime is 90554250707. The reversal of 90554250672 is 27605245509.

90554250672 is a `hidden beast` number, since 9 + 0 + 554 + 25 + 0 + 6 + 72 = 666.

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 79 ways as a sum of consecutive naturals, for example, 215093022 + ... + 215093442.

It is an arithmetic number, because the mean of its divisors is an integer number (698068602).

Almost surely, 2^90554250672 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 90554250672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139613720400).

90554250672 is an abundant number, since it is smaller than the sum of its proper divisors (188673190128).

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

90554250672 is a wasteful number, since it uses less digits than its factorization.

90554250672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 90554250672 in words is "ninety billion, five hundred fifty-four million, two hundred fifty thousand, six hundred seventy-two".