6115996902400 has 1056 divisors, whose sum is σ = 19834745352192. Its totient is φ = 1813089484800.

The previous prime is 6115996902359. The next prime is 6115996902403. The reversal of 6115996902400 is 42096995116.

It is a happy number.

It is a super-2 number, since 2×6115996902400² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6115996902403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12558514957 + ... + 12558515443.

Almost surely, 2^{6115996902400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6115996902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9917372676096).

6115996902400 is an abundant number, since it is smaller than the sum of its proper divisors (13718748449792).

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

6115996902400 is a wasteful number, since it uses less digits than its factorization.

6115996902400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 52.

The spelling of 6115996902400 in words is "six trillion, one hundred fifteen billion, nine hundred ninety-six million, nine hundred two thousand, four hundred".