6157869696000 has 1408 divisors, whose sum is σ = 25412491653120. Its totient is φ = 1457713152000.

The previous prime is 6157869695977. The next prime is 6157869696049. The reversal of 6157869696000 is 6969687516.

6157869696000 is a `hidden beast` number, since 6 + 15 + 7 + 8 + 6 + 9 + 6 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-3 number, since 3×6157869696000³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1634686117 + ... + 1634689883.

It is an arithmetic number, because the mean of its divisors is an integer number (18048644640).

Almost surely, 2^{6157869696000} is an apocalyptic number.

6157869696000 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 6157869696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12706245826560).

6157869696000 is an abundant number, since it is smaller than the sum of its proper divisors (19254621957120).

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

6157869696000 is a wasteful number, since it uses less digits than its factorization.

6157869696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3865 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 6157869696000 in words is "six trillion, one hundred fifty-seven billion, eight hundred sixty-nine million, six hundred ninety-six thousand".