61861140960 has 96 divisors (see below), whose sum is σ = 194929973280. Its totient is φ = 16490600448.

The previous prime is 61861140959. The next prime is 61861140989. The reversal of 61861140960 is 6904116816.

61861140960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 248719²-1.

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, 1471594 + ... + 1513046.

It is an arithmetic number, because the mean of its divisors is an integer number (2030520555).

Almost surely, 2^61861140960 is an apocalyptic number.

61861140960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61861140960 is an abundant number, since it is smaller than the sum of its proper divisors (133068832320).

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

61861140960 is a wasteful number, since it uses less digits than its factorization.

61861140960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44580 (or 44572 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 61861140960 in words is "sixty-one billion, eight hundred sixty-one million, one hundred forty thousand, nine hundred sixty".