5005651996800 has 3840 divisors, whose sum is σ = 23911094592000. Its totient is φ = 1024192512000.

The previous prime is 5005651996799. The next prime is 5005651996801. The reversal of 5005651996800 is 86991565005.

5005651996800 is a `hidden beast` number, since 5 + 0 + 0 + 565 + 19 + 9 + 68 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5005651996799) and next prime (5005651996801).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005651996801) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 70502140765 + ... + 70502140835.

It is an arithmetic number, because the mean of its divisors is an integer number (6226847550).

Almost surely, 2^{5005651996800} is an apocalyptic number.

5005651996800 is a gapful number since it is divisible by the number (50) 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 5005651996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11955547296000).

5005651996800 is an abundant number, since it is smaller than the sum of its proper divisors (18905442595200).

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

5005651996800 is a wasteful number, since it uses less digits than its factorization.

5005651996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 54.

The spelling of 5005651996800 in words is "five trillion, five billion, six hundred fifty-one million, nine hundred ninety-six thousand, eight hundred".