61570967080896 has 1344 divisors, whose sum is σ = 236944875847680. Its totient is φ = 14829023600640.

The previous prime is 61570967080891. The next prime is 61570967080921. The reversal of 61570967080896 is 69808076907516.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61570967080891) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8119601521 + ... + 8119609103.

It is an arithmetic number, because the mean of its divisors is an integer number (176298270720).

Almost surely, 2^{61570967080896} 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 61570967080896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118472437923840).

61570967080896 is an abundant number, since it is smaller than the sum of its proper divisors (175373908766784).

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

61570967080896 is a wasteful number, since it uses less digits than its factorization.

61570967080896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7934 (or 7921 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 61570967080896 in words is "sixty-one trillion, five hundred seventy billion, nine hundred sixty-seven million, eighty thousand, eight hundred ninety-six".