90842562800 has 240 divisors, whose sum is σ = 246370293792. Its totient is φ = 31898419200.

The previous prime is 90842562791. The next prime is 90842562821. The reversal of 90842562800 is 826524809.

It is a Cunningham number, because it is equal to 549⁴-1.

It is a hoax number, since the sum of its digits (44) 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 (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22301564 + ... + 22305636.

Almost surely, 2^90842562800 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 90842562800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123185146896).

90842562800 is an abundant number, since it is smaller than the sum of its proper divisors (155527730992).

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

90842562800 is a wasteful number, since it uses less digits than its factorization.

90842562800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276 (or 4265 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 90842562800 in words is "ninety billion, eight hundred forty-two million, five hundred sixty-two thousand, eight hundred".