90399849120 has 504 divisors, whose sum is σ = 372510388404. Its totient is φ = 20661516288.

The previous prime is 90399849119. The next prime is 90399849157. The reversal of 90399849120 is 2194899309.

90399849120 is a `hidden beast` number, since 90 + 399 + 8 + 49 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88273163664 + 2126685456 = 297108^2 + 46116^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5707452 + ... + 5723268.

Almost surely, 2^90399849120 is an apocalyptic number.

90399849120 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 90399849120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186255194202).

90399849120 is an abundant number, since it is smaller than the sum of its proper divisors (282110539284).

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

90399849120 is a wasteful number, since it uses less digits than its factorization.

90399849120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15864 (or 15834 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 90399849120 in words is "ninety billion, three hundred ninety-nine million, eight hundred forty-nine thousand, one hundred twenty".