90152409600 has 360 divisors, whose sum is σ = 351965588832. Its totient is φ = 21854822400.

The previous prime is 90152409593. The next prime is 90152409601. The reversal of 90152409600 is 690425109.

90152409600 is a `hidden beast` number, since 9 + 0 + 1 + 5 + 2 + 40 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (90152409601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1231629 + ... + 1302771.

Almost surely, 2^90152409600 is an apocalyptic number.

90152409600 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 90152409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175982794416).

90152409600 is an abundant number, since it is smaller than the sum of its proper divisors (261813179232).

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

90152409600 is a wasteful number, since it uses less digits than its factorization.

90152409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71188 (or 71164 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 90152409600 in words is "ninety billion, one hundred fifty-two million, four hundred nine thousand, six hundred".