6115248806400 has 180 divisors, whose sum is σ = 21884787826902. Its totient is φ = 1630732984320.

The previous prime is 6115248806389. The next prime is 6115248806417. The reversal of 6115248806400 is 46088425116.

It is a happy number.

6115248806400 is a `hidden beast` number, since 6 + 1 + 1 + 524 + 8 + 80 + 6 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5307752468736 + 807496337664 = 2303856^2 + 898608^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26426679 + ... + 26657078.

Almost surely, 2^{6115248806400} is an apocalyptic number.

6115248806400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6115248806400 is an abundant number, since it is smaller than the sum of its proper divisors (15769539020502).

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

6115248806400 is a wasteful number, since it uses less digits than its factorization.

6115248806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53083791 (or 53083767 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 6115248806400 in words is "six trillion, one hundred fifteen billion, two hundred forty-eight million, eight hundred six thousand, four hundred".