90800535840 has 576 divisors, whose sum is σ = 346252838400. Its totient is φ = 19919069184.

The previous prime is 90800535767. The next prime is 90800535853. The reversal of 90800535840 is 4853500809.

It is a super-2 number, since 2×90800535840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 90800535792 and 90800535801.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 163016842 + ... + 163017398.

It is an arithmetic number, because the mean of its divisors is an integer number (601133400).

Almost surely, 2^90800535840 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 90800535840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173126419200).

90800535840 is an abundant number, since it is smaller than the sum of its proper divisors (255452302560).

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

90800535840 is a wasteful number, since it uses less digits than its factorization.

90800535840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

It can be divided in two parts, 90800 and 535840, that added together give a triangular number (626640 = T₁₁₁₉).

The spelling of 90800535840 in words is "ninety billion, eight hundred million, five hundred thirty-five thousand, eight hundred forty".