6123172872960 has 2304 divisors, whose sum is σ = 26947426222080. Its totient is φ = 1295439298560.

The previous prime is 6123172872919. The next prime is 6123172872967. The reversal of 6123172872960 is 692782713216.

It is a happy number.

6123172872960 is a `hidden beast` number, since 6 + 12 + 317 + 28 + 7 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6123172872897 and 6123172872906.

It is not an unprimeable number, because it can be changed into a prime (6123172872967) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11707787259 + ... + 11707787781.

It is an arithmetic number, because the mean of its divisors is an integer number (11695931520).

Almost surely, 2^{6123172872960} is an apocalyptic number.

6123172872960 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 6123172872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13473713111040).

6123172872960 is an abundant number, since it is smaller than the sum of its proper divisors (20824253349120).

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

6123172872960 is a wasteful number, since it uses less digits than its factorization.

6123172872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 6123172872960 in words is "six trillion, one hundred twenty-three billion, one hundred seventy-two million, eight hundred seventy-two thousand, nine hundred sixty".