61090593984 has 1120 divisors, whose sum is σ = 233676748800. Its totient is φ = 15704285184.

The previous prime is 61090593979. The next prime is 61090594051. The reversal of 61090593984 is 48939509016.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 61090593984.

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, 1299799849 + ... + 1299799895.

Almost surely, 2^61090593984 is an apocalyptic number.

61090593984 is a gapful number since it is divisible by the number (64) 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 61090593984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116838374400).

61090593984 is an abundant number, since it is smaller than the sum of its proper divisors (172586154816).

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

61090593984 is a wasteful number, since it uses less digits than its factorization.

61090593984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 61090593984 in words is "sixty-one billion, ninety million, five hundred ninety-three thousand, nine hundred eighty-four".