90037893116160 has 1728 divisors, whose sum is σ = 366567278837760. Its totient is φ = 20959948800000.

The previous prime is 90037893116141. The next prime is 90037893116207. The reversal of 90037893116160 is 6161139873009.

It is a happy number.

90037893116160 is a `hidden beast` number, since 9 + 0 + 0 + 3 + 7 + 8 + 9 + 3 + 11 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a junction number, because it is equal to n+sod(n) for n = 90037893116097 and 90037893116106.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18951353785 + ... + 18951358535.

It is an arithmetic number, because the mean of its divisors is an integer number (212133841920).

Almost surely, 2^{90037893116160} is an apocalyptic number.

90037893116160 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 90037893116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183283639418880).

90037893116160 is an abundant number, since it is smaller than the sum of its proper divisors (276529385721600).

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

90037893116160 is a wasteful number, since it uses less digits than its factorization.

90037893116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5018 (or 4992 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 90037893116160 in words is "ninety trillion, thirty-seven billion, eight hundred ninety-three million, one hundred sixteen thousand, one hundred sixty".