5040092819664 has 300 divisors, whose sum is σ = 17516519906688. Its totient is φ = 1393573507200.

The previous prime is 5040092819599. The next prime is 5040092819677. The reversal of 5040092819664 is 4669182900405.

5040092819664 is a `hidden beast` number, since 5 + 0 + 400 + 92 + 8 + 1 + 96 + 64 = 666.

It is a super-2 number, since 2×5040092819664² (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5040092819664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 688519 + ... + 3248729.

Almost surely, 2^{5040092819664} is an apocalyptic number.

5040092819664 is a gapful number since it is divisible by the number (54) 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 5040092819664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8758259953344).

5040092819664 is an abundant number, since it is smaller than the sum of its proper divisors (12476427087024).

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

5040092819664 is a wasteful number, since it uses less digits than its factorization.

5040092819664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2560276 (or 2560254 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 5040092819664 in words is "five trillion, forty billion, ninety-two million, eight hundred nineteen thousand, six hundred sixty-four".