61577418000 has 320 divisors, whose sum is σ = 231524467200. Its totient is φ = 14074368000.

The previous prime is 61577417981. The next prime is 61577418053. The reversal of 61577418000 is 81477516.

It is a self number, because there is not a number n which added to its sum of digits gives 61577418000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2043040 + ... + 2072960.

It is an arithmetic number, because the mean of its divisors is an integer number (723513960).

Almost surely, 2^61577418000 is an apocalyptic number.

61577418000 is a gapful number since it is divisible by the number (60) 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 61577418000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115762233600).

61577418000 is an abundant number, since it is smaller than the sum of its proper divisors (169947049200).

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

61577418000 is a wasteful number, since it uses less digits than its factorization.

61577418000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29968 (or 29938 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The spelling of 61577418000 in words is "sixty-one billion, five hundred seventy-seven million, four hundred eighteen thousand".