90053156160 has 1008 divisors, whose sum is σ = 374506711488. Its totient is φ = 20510392320.

The previous prime is 90053156159. The next prime is 90053156197. The reversal of 90053156160 is 6165135009.

90053156160 is a `hidden beast` number, since 9 + 0 + 0 + 5 + 31 + 5 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 159952039 + ... + 159952601.

It is an arithmetic number, because the mean of its divisors is an integer number (371534436).

Almost surely, 2^90053156160 is an apocalyptic number.

90053156160 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 90053156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187253355744).

90053156160 is an abundant number, since it is smaller than the sum of its proper divisors (284453555328).

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

90053156160 is a wasteful number, since it uses less digits than its factorization.

90053156160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 90053156160 in words is "ninety billion, fifty-three million, one hundred fifty-six thousand, one hundred sixty".