61560135264 has 96 divisors (see below), whose sum is σ = 165200878080. Its totient is φ = 20063089152.

The previous prime is 61560135251. The next prime is 61560135277. The reversal of 61560135264 is 46253106516.

It is an interprime number because it is at equal distance from previous prime (61560135251) and next prime (61560135277).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4816947 + ... + 4829709.

It is an arithmetic number, because the mean of its divisors is an integer number (1720842480).

Almost surely, 2^61560135264 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 61560135264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82600439040).

61560135264 is an abundant number, since it is smaller than the sum of its proper divisors (103640742816).

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

61560135264 is a wasteful number, since it uses less digits than its factorization.

61560135264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13892 (or 13884 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

It can be divided in two parts, 615601352 and 64, that added together give a triangular number (615601416 = T₃₅₀₈₈).

The spelling of 61560135264 in words is "sixty-one billion, five hundred sixty million, one hundred thirty-five thousand, two hundred sixty-four".