61612858259904 has 224 divisors, whose sum is σ = 186862933278720. Its totient is φ = 17551074106368.

The previous prime is 61612858259873. The next prime is 61612858259941. The reversal of 61612858259904 is 40995285821616.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×61612858259904² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 722917837 + ... + 723003059.

Almost surely, 2^{61612858259904} is an apocalyptic number.

61612858259904 is a gapful number since it is divisible by the number (64) 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 61612858259904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93431466639360).

61612858259904 is an abundant number, since it is smaller than the sum of its proper divisors (125250075018816).

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

61612858259904 is a wasteful number, since it uses less digits than its factorization.

61612858259904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86847 (or 86837 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 66.

The spelling of 61612858259904 in words is "sixty-one trillion, six hundred twelve billion, eight hundred fifty-eight million, two hundred fifty-nine thousand, nine hundred four".