561121690187520 has 1440 divisors, whose sum is σ = 2505303574050816. Its totient is φ = 116499957350400.

The previous prime is 561121690187453. The next prime is 561121690187549. The reversal of 561121690187520 is 25781096121165.

561121690187520 is a `hidden beast` number, since 5 + 6 + 1 + 1 + 2 + 16 + 90 + 18 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9827487612 + ... + 9827544708.

Almost surely, 2^{561121690187520} 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 561121690187520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252651787025408).

561121690187520 is an abundant number, since it is smaller than the sum of its proper divisors (1944181883863296).

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

561121690187520 is a wasteful number, since it uses less digits than its factorization.

561121690187520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58379 (or 58356 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 561121690187520 in words is "five hundred sixty-one trillion, one hundred twenty-one billion, six hundred ninety million, one hundred eighty-seven thousand, five hundred twenty".