90751709854080 has 768 divisors, whose sum is σ = 356703624426240. Its totient is φ = 21865375457280.

The previous prime is 90751709854063. The next prime is 90751709854097. The reversal of 90751709854080 is 8045890715709.

90751709854080 is a `hidden beast` number, since 9 + 0 + 7 + 5 + 1 + 7 + 0 + 9 + 8 + 540 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (90751709854063) and next prime (90751709854097).

It is a junction number, because it is equal to n+sod(n) for n = 90751709853999 and 90751709854017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 278684634 + ... + 279010086.

It is an arithmetic number, because the mean of its divisors is an integer number (464457844305).

Almost surely, 2^{90751709854080} is an apocalyptic number.

90751709854080 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 90751709854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178351812213120).

90751709854080 is an abundant number, since it is smaller than the sum of its proper divisors (265951914572160).

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

90751709854080 is a wasteful number, since it uses less digits than its factorization.

90751709854080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325661 (or 325637 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 63.

The spelling of 90751709854080 in words is "ninety trillion, seven hundred fifty-one billion, seven hundred nine million, eight hundred fifty-four thousand, eighty".