561235340160 has 640 divisors, whose sum is σ = 2192493108960. Its totient is φ = 135683112960.

The previous prime is 561235340137. The next prime is 561235340201. The reversal of 561235340160 is 61043532165.

561235340160 is a `hidden beast` number, since 5 + 61 + 2 + 3 + 534 + 0 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 246912784 + ... + 246915056.

Almost surely, 2^561235340160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561235340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096246554480).

561235340160 is an abundant number, since it is smaller than the sum of its proper divisors (1631257768800).

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

561235340160 is a wasteful number, since it uses less digits than its factorization.

561235340160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 561235340160 in words is "five hundred sixty-one billion, two hundred thirty-five million, three hundred forty thousand, one hundred sixty".