90251444913840 has 320 divisors, whose sum is σ = 355557792844800. Its totient is φ = 20612512198656.

The previous prime is 90251444913827. The next prime is 90251444913863. The reversal of 90251444913840 is 4831944415209.

90251444913840 is a `hidden beast` number, since 9 + 0 + 2 + 5 + 144 + 491 + 3 + 8 + 4 + 0 = 666.

It is a super-3 number, since 3×90251444913840³ (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16665544 + ... + 21406616.

It is an arithmetic number, because the mean of its divisors is an integer number (1111118102640).

Almost surely, 2^{90251444913840} is an apocalyptic number.

90251444913840 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 90251444913840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177778896422400).

90251444913840 is an abundant number, since it is smaller than the sum of its proper divisors (265306347930960).

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

90251444913840 is a wasteful number, since it uses less digits than its factorization.

90251444913840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4742361 (or 4742349 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 90251444913840 in words is "ninety trillion, two hundred fifty-one billion, four hundred forty-four million, nine hundred thirteen thousand, eight hundred forty".