6123050956800 has 864 divisors, whose sum is σ = 22707921600000. Its totient is φ = 1575139737600.

The previous prime is 6123050956787. The next prime is 6123050956853. The reversal of 6123050956800 is 86590503216.

6123050956800 is a `hidden beast` number, since 6 + 1 + 2 + 30 + 50 + 9 + 568 + 0 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 7128114771 + ... + 7128115629.

Almost surely, 2^{6123050956800} is an apocalyptic number.

6123050956800 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 6123050956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11353960800000).

6123050956800 is an abundant number, since it is smaller than the sum of its proper divisors (16584870643200).

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

6123050956800 is a wasteful number, since it uses less digits than its factorization.

6123050956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 6123050956800 in words is "six trillion, one hundred twenty-three billion, fifty million, nine hundred fifty-six thousand, eight hundred".