90959338229760 has 7488 divisors, whose sum is σ = 477494169384960. Its totient is φ = 15995319091200.

The previous prime is 90959338229759. The next prime is 90959338229783. The reversal of 90959338229760 is 6792283395909.

90959338229760 is a `hidden beast` number, since 9 + 0 + 9 + 5 + 9 + 338 + 229 + 7 + 60 = 666.

90959338229760 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (7488).

It is a super-2 number, since 2×90959338229760² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2934172200945 + ... + 2934172200975.

It is an arithmetic number, because the mean of its divisors is an integer number (63767917920).

Almost surely, 2^{90959338229760} is an apocalyptic number.

90959338229760 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 90959338229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238747084692480).

90959338229760 is an abundant number, since it is smaller than the sum of its proper divisors (386534831155200).

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

90959338229760 is a wasteful number, since it uses less digits than its factorization.

90959338229760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 396809280, while the sum is 72.

The spelling of 90959338229760 in words is "ninety trillion, nine hundred fifty-nine billion, three hundred thirty-eight million, two hundred twenty-nine thousand, seven hundred sixty".