90950673344160 has 768 divisors, whose sum is σ = 367155416162304. Its totient is φ = 18435820879872.

The previous prime is 90950673344131. The next prime is 90950673344263. The reversal of 90950673344160 is 6144337605909.

It is a super-2 number, since 2×90950673344160² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90950673344160.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 87505284 + ... + 88538556.

It is an arithmetic number, because the mean of its divisors is an integer number (478066948128).

Almost surely, 2^{90950673344160} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90950673344160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183577708081152).

90950673344160 is an abundant number, since it is smaller than the sum of its proper divisors (276204742818144).

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

90950673344160 is a wasteful number, since it uses less digits than its factorization.

90950673344160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033405 (or 1033397 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 57.

The spelling of 90950673344160 in words is "ninety trillion, nine hundred fifty billion, six hundred seventy-three million, three hundred forty-four thousand, one hundred sixty".