90388742400 has 1080 divisors, whose sum is σ = 370410229728. Its totient is φ = 21745152000.

The previous prime is 90388742363. The next prime is 90388742413. The reversal of 90388742400 is 424788309.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 689990335 + ... + 689990465.

Almost surely, 2^90388742400 is an apocalyptic number.

90388742400 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 90388742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185205114864).

90388742400 is an abundant number, since it is smaller than the sum of its proper divisors (280021487328).

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

90388742400 is a wasteful number, since it uses less digits than its factorization.

90388742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 90388742400 in words is "ninety billion, three hundred eighty-eight million, seven hundred forty-two thousand, four hundred".