5776607491200 has 1152 divisors, whose sum is σ = 26484304896000. Its totient is φ = 1218789089280.

The previous prime is 5776607491159. The next prime is 5776607491223. The reversal of 5776607491200 is 21947066775.

5776607491200 is a `hidden beast` number, since 5 + 7 + 7 + 6 + 607 + 4 + 9 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 54984321 + ... + 55089279.

It is an arithmetic number, because the mean of its divisors is an integer number (22989848000).

Almost surely, 2^{5776607491200} is an apocalyptic number.

5776607491200 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 5776607491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13242152448000).

5776607491200 is an abundant number, since it is smaller than the sum of its proper divisors (20707697404800).

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

5776607491200 is a wasteful number, since it uses less digits than its factorization.

5776607491200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105019 (or 104989 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 5776607491200 in words is "five trillion, seven hundred seventy-six billion, six hundred seven million, four hundred ninety-one thousand, two hundred".