90955501560 has 384 divisors, whose sum is σ = 380864332800. Its totient is φ = 18899654400.

The previous prime is 90955501543. The next prime is 90955501561. The reversal of 90955501560 is 6510555909.

90955501560 is a `hidden beast` number, since 9 + 0 + 95 + 5 + 501 + 56 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90955501561) by changing a digit.

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, 865045 + ... + 964475.

It is an arithmetic number, because the mean of its divisors is an integer number (991834200).

Almost surely, 2^90955501560 is an apocalyptic number.

90955501560 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 90955501560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190432166400).

90955501560 is an abundant number, since it is smaller than the sum of its proper divisors (289908831240).

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

90955501560 is a wasteful number, since it uses less digits than its factorization.

90955501560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99480 (or 99459 counting only the distinct ones).

The product of its (nonzero) digits is 303750, while the sum is 45.

The spelling of 90955501560 in words is "ninety billion, nine hundred fifty-five million, five hundred one thousand, five hundred sixty".