6135400857600 has 3456 divisors, whose sum is σ = 28831506696720. Its totient is φ = 1284211998720.

The previous prime is 6135400857581. The next prime is 6135400857623. The reversal of 6135400857600 is 67580045316.

6135400857600 is a `hidden beast` number, since 6 + 1 + 35 + 4 + 0 + 0 + 8 + 5 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 165821644782 + ... + 165821644818.

Almost surely, 2^{6135400857600} is an apocalyptic number.

6135400857600 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 6135400857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14415753348360).

6135400857600 is an abundant number, since it is smaller than the sum of its proper divisors (22696105839120).

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

6135400857600 is an equidigital number, since it uses as much as digits as its factorization.

6135400857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 6135400857600 in words is "six trillion, one hundred thirty-five billion, four hundred million, eight hundred fifty-seven thousand, six hundred".