124889506560 has 2160 divisors, whose sum is σ = 587356906752. Its totient is φ = 25082265600.

The previous prime is 124889506549. The next prime is 124889506589. The reversal of 124889506560 is 65605988421.

124889506560 is a `hidden beast` number, since 1 + 2 + 4 + 8 + 89 + 506 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 = 124889506497 and 124889506506.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2047368930 + ... + 2047368990.

Almost surely, 2^124889506560 is an apocalyptic number.

124889506560 is a gapful number since it is divisible by the number (10) 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 124889506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293678453376).

124889506560 is an abundant number, since it is smaller than the sum of its proper divisors (462467400192).

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

124889506560 is a wasteful number, since it uses less digits than its factorization.

124889506560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 124889506560 in words is "one hundred twenty-four billion, eight hundred eighty-nine million, five hundred six thousand, five hundred sixty".