5771639966400 has 2688 divisors, whose sum is σ = 27451530608640. Its totient is φ = 1158935040000.

The previous prime is 5771639966387. The next prime is 5771639966419. The reversal of 5771639966400 is 46699361775.

5771639966400 is a `hidden beast` number, since 5 + 7 + 7 + 163 + 9 + 9 + 66 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8352590055 + ... + 8352590745.

Almost surely, 2^{5771639966400} is an apocalyptic number.

5771639966400 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 5771639966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13725765304320).

5771639966400 is an abundant number, since it is smaller than the sum of its proper divisors (21679890642240).

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

5771639966400 is a wasteful number, since it uses less digits than its factorization.

5771639966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 5771639966400 in words is "five trillion, seven hundred seventy-one billion, six hundred thirty-nine million, nine hundred sixty-six thousand, four hundred".