61515127213056 has 1760 divisors, whose sum is σ = 212238195079680. Its totient is φ = 17579881267200.

The previous prime is 61515127212997. The next prime is 61515127213063. The reversal of 61515127213056 is 65031272151516.

61515127213056 is a `hidden beast` number, since 6 + 1 + 5 + 1 + 512 + 72 + 13 + 0 + 56 = 666.

It is a super-2 number, since 2×61515127213056² (a number of 28 digits) contains 22 as substring.

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, 268625009550 + ... + 268625009778.

It is an arithmetic number, because the mean of its divisors is an integer number (120589883568).

Almost surely, 2^{61515127213056} is an apocalyptic number.

61515127213056 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 61515127213056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106119097539840).

61515127213056 is an abundant number, since it is smaller than the sum of its proper divisors (150723067866624).

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

61515127213056 is a wasteful number, since it uses less digits than its factorization.

61515127213056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 61515127213056 in words is "sixty-one trillion, five hundred fifteen billion, one hundred twenty-seven million, two hundred thirteen thousand, fifty-six".