6115516070400 has 1440 divisors, whose sum is σ = 25293079139328. Its totient is φ = 1450624204800.

The previous prime is 6115516070399. The next prime is 6115516070407. The reversal of 6115516070400 is 40706155116.

It is a happy number.

6115516070400 is a `hidden beast` number, since 6 + 1 + 1 + 5 + 5 + 1 + 607 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6115516070407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1608074899 + ... + 1608078701.

Almost surely, 2^{6115516070400} is an apocalyptic number.

6115516070400 is a gapful number since it is divisible by the number (60) 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 6115516070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12646539569664).

6115516070400 is an abundant number, since it is smaller than the sum of its proper divisors (19177563068928).

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

6115516070400 is a wasteful number, since it uses less digits than its factorization.

6115516070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904 (or 3871 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 6115516070400 in words is "six trillion, one hundred fifteen billion, five hundred sixteen million, seventy thousand, four hundred".