61261596697680 has 80 divisors (see below), whose sum is σ = 211012166410560. Its totient is φ = 16336425785472.

The previous prime is 61261596697673. The next prime is 61261596697687. The reversal of 61261596697680 is 8679669516216.

61261596697680 is a `hidden beast` number, since 6 + 1 + 26 + 1 + 596 + 6 + 9 + 7 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61261596697673) and next prime (61261596697687).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 61261596697599 and 61261596697608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61261596697687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14180923002 + ... + 14180927321.

It is an arithmetic number, because the mean of its divisors is an integer number (2637652080132).

Almost surely, 2^{61261596697680} is an apocalyptic number.

61261596697680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61261596697680 is an abundant number, since it is smaller than the sum of its proper divisors (149750569712880).

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

61261596697680 is a wasteful number, since it uses less digits than its factorization.

61261596697680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28361850345 (or 28361850333 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 61261596697680 in words is "sixty-one trillion, two hundred sixty-one billion, five hundred ninety-six million, six hundred ninety-seven thousand, six hundred eighty".