61377190056 has 384 divisors, whose sum is σ = 216399456000. Its totient is φ = 15261364224.

The previous prime is 61377190027. The next prime is 61377190073. The reversal of 61377190056 is 65009177316.

It is a junction number, because it is equal to n+sod(n) for n = 61377189993 and 61377190020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28506676 + ... + 28508828.

It is an arithmetic number, because the mean of its divisors is an integer number (563540250).

Almost surely, 2^61377190056 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 61377190056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108199728000).

61377190056 is an abundant number, since it is smaller than the sum of its proper divisors (155022265944).

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

61377190056 is a wasteful number, since it uses less digits than its factorization.

61377190056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 61377190056 in words is "sixty-one billion, three hundred seventy-seven million, one hundred ninety thousand, fifty-six".