561146057687040 has 2048 divisors, whose sum is σ = 2275761070080000. Its totient is φ = 117570797568000.

The previous prime is 561146057687027. The next prime is 561146057687041. The reversal of 561146057687040 is 40786750641165.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561146057687041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 99300308215 + ... + 99300313865.

It is an arithmetic number, because the mean of its divisors is an integer number (1111211460000).

Almost surely, 2^{561146057687040} 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 561146057687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137880535040000).

561146057687040 is an abundant number, since it is smaller than the sum of its proper divisors (1714615012392960).

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

561146057687040 is an equidigital number, since it uses as much as digits as its factorization.

561146057687040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5760 (or 5718 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 60.

The spelling of 561146057687040 in words is "five hundred sixty-one trillion, one hundred forty-six billion, fifty-seven million, six hundred eighty-seven thousand, forty".