90029378880 has 224 divisors, whose sum is σ = 362975834880. Its totient is φ = 20578129920.

The previous prime is 90029378867. The next prime is 90029378917. The reversal of 90029378880 is 8887392009.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 683811 + ... + 804770.

Almost surely, 2^90029378880 is an apocalyptic number.

90029378880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90029378880 is an abundant number, since it is smaller than the sum of its proper divisors (272946456000).

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

90029378880 is a wasteful number, since it uses less digits than its factorization.

90029378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488614 (or 1488598 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 90029378880 in words is "ninety billion, twenty-nine million, three hundred seventy-eight thousand, eight hundred eighty".