90029361600 has 1008 divisors, whose sum is σ = 359379060768. Its totient is φ = 22083010560.

The previous prime is 90029361589. The next prime is 90029361619. The reversal of 90029361600 is 616392009.

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, 350308672 + ... + 350308928.

It is an arithmetic number, because the mean of its divisors is an integer number (356526846).

Almost surely, 2^90029361600 is an apocalyptic number.

90029361600 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 90029361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179689530384).

90029361600 is an abundant number, since it is smaller than the sum of its proper divisors (269349699168).

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

90029361600 is a wasteful number, since it uses less digits than its factorization.

90029361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 90029361600 in words is "ninety billion, twenty-nine million, three hundred sixty-one thousand, six hundred".