90288159763200 has 216 divisors, whose sum is σ = 340536843080448. Its totient is φ = 20637293629440.

The previous prime is 90288159763189. The next prime is 90288159763201. The reversal of 90288159763200 is 236795188209.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (90288159763201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335759052 + ... + 336027851.

Almost surely, 2^{90288159763200} is an apocalyptic number.

It is an amenable number.

90288159763200 is an abundant number, since it is smaller than the sum of its proper divisors (250248683317248).

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

90288159763200 is a wasteful number, since it uses less digits than its factorization.

90288159763200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671786939 (or 671786920 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 90288159763200 in words is "ninety trillion, two hundred eighty-eight billion, one hundred fifty-nine million, seven hundred sixty-three thousand, two hundred".