61187955768576 has 864 divisors, whose sum is σ = 220585506552320. Its totient is φ = 15881803923456.

The previous prime is 61187955768523. The next prime is 61187955768613. The reversal of 61187955768576 is 67586755978116.

61187955768576 is a `hidden beast` number, since 6 + 1 + 1 + 8 + 7 + 9 + 557 + 6 + 8 + 57 + 6 = 666.

61187955768576 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61187955768576² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 61187955768495 and 61187955768504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7453760760 + ... + 7453768968.

Almost surely, 2^{61187955768576} 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 61187955768576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110292753276160).

61187955768576 is an abundant number, since it is smaller than the sum of its proper divisors (159397550783744).

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

61187955768576 is a wasteful number, since it uses less digits than its factorization.

61187955768576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8811 (or 8794 counting only the distinct ones).

The product of its digits is 5334336000, while the sum is 81.

The spelling of 61187955768576 in words is "sixty-one trillion, one hundred eighty-seven billion, nine hundred fifty-five million, seven hundred sixty-eight thousand, five hundred seventy-six".