1561624536960 has 384 divisors, whose sum is σ = 5715305256960. Its totient is φ = 391551713280.

The previous prime is 1561624536947. The next prime is 1561624537021. The reversal of 1561624536960 is 696354261651.

1561624536960 is a `hidden beast` number, since 1 + 5 + 6 + 1 + 624 + 5 + 3 + 6 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 1561624536897 and 1561624536906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107019265 + ... + 107033855.

It is an arithmetic number, because the mean of its divisors is an integer number (14883607440).

Almost surely, 2^{1561624536960} is an apocalyptic number.

1561624536960 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 1561624536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857652628480).

1561624536960 is an abundant number, since it is smaller than the sum of its proper divisors (4153680720000).

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

1561624536960 is a wasteful number, since it uses less digits than its factorization.

1561624536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15726 (or 15711 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 1561624536960 in words is "one trillion, five hundred sixty-one billion, six hundred twenty-four million, five hundred thirty-six thousand, nine hundred sixty".