90342907200 has 1680 divisors, whose sum is σ = 419928608960. Its totient is φ = 18776862720.

The previous prime is 90342907157. The next prime is 90342907217. The reversal of 90342907200 is 270924309.

It is a tau number, because it is divible by the number of its divisors (1680).

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 239 ways as a sum of consecutive naturals, for example, 1348401567 + ... + 1348401633.

Almost surely, 2^90342907200 is an apocalyptic number.

90342907200 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 90342907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209964304480).

90342907200 is an abundant number, since it is smaller than the sum of its proper divisors (329585701760).

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

90342907200 is a wasteful number, since it uses less digits than its factorization.

90342907200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 90342907200 in words is "ninety billion, three hundred forty-two million, nine hundred seven thousand, two hundred".