61410556601856 has 2400 divisors, whose sum is σ = 244726536811680. Its totient is φ = 15138540748800.

The previous prime is 61410556601833. The next prime is 61410556601941. The reversal of 61410556601856 is 65810665501416.

It is a happy number.

61410556601856 is a `hidden beast` number, since 6 + 1 + 4 + 1 + 0 + 556 + 6 + 0 + 1 + 85 + 6 = 666.

It is a super-2 number, since 2×61410556601856² (a number of 28 digits) contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 39543177976 + ... + 39543179528.

Almost surely, 2^{61410556601856} is an apocalyptic number.

61410556601856 is a gapful number since it is divisible by the number (66) 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 61410556601856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122363268405840).

61410556601856 is an abundant number, since it is smaller than the sum of its proper divisors (183315980209824).

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

61410556601856 is a wasteful number, since it uses less digits than its factorization.

61410556601856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 61410556601856 in words is "sixty-one trillion, four hundred ten billion, five hundred fifty-six million, six hundred one thousand, eight hundred fifty-six".