1561947528960 has 2304 divisors, whose sum is σ = 7248922705920. Its totient is φ = 309586821120.

The previous prime is 1561947528937. The next prime is 1561947528961. The reversal of 1561947528960 is 698257491651.

1561947528960 is a `hidden beast` number, since 1 + 5 + 6 + 1 + 9 + 47 + 528 + 9 + 60 = 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 (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1561947528961) 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, 3607268904 + ... + 3607269336.

Almost surely, 2^{1561947528960} is an apocalyptic number.

1561947528960 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 1561947528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3624461352960).

1561947528960 is an abundant number, since it is smaller than the sum of its proper divisors (5686975176960).

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

1561947528960 is a wasteful number, since it uses less digits than its factorization.

1561947528960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 1561947528960 in words is "one trillion, five hundred sixty-one billion, nine hundred forty-seven million, five hundred twenty-eight thousand, nine hundred sixty".