90751291353360 has 1920 divisors, whose sum is σ = 381991916666880. Its totient is φ = 19020718080000.

The previous prime is 90751291353313. The next prime is 90751291353413. The reversal of 90751291353360 is 6335319215709.

90751291353360 is a `hidden beast` number, since 9 + 0 + 7 + 5 + 12 + 91 + 3 + 533 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 90751291353297 and 90751291353306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11079386865 + ... + 11079395055.

It is an arithmetic number, because the mean of its divisors is an integer number (198954123264).

Almost surely, 2^{90751291353360} is an apocalyptic number.

90751291353360 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 90751291353360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190995958333440).

90751291353360 is an abundant number, since it is smaller than the sum of its proper divisors (291240625313520).

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

90751291353360 is a wasteful number, since it uses less digits than its factorization.

90751291353360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8389 (or 8380 counting only the distinct ones).

The product of its (nonzero) digits is 4592700, while the sum is 54.

The spelling of 90751291353360 in words is "ninety trillion, seven hundred fifty-one billion, two hundred ninety-one million, three hundred fifty-three thousand, three hundred sixty".