61390892160 has 768 divisors, whose sum is σ = 240589440000. Its totient is φ = 14319452160.

The previous prime is 61390892131. The next prime is 61390892161. The reversal of 61390892160 is 6129809316.

It is a happy number.

61390892160 is a `hidden beast` number, since 613 + 9 + 0 + 8 + 9 + 21 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (61390892161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123027591 + ... + 123028089.

It is an arithmetic number, because the mean of its divisors is an integer number (313267500).

Almost surely, 2^61390892160 is an apocalyptic number.

61390892160 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 61390892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120294720000).

61390892160 is an abundant number, since it is smaller than the sum of its proper divisors (179198547840).

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

61390892160 is a wasteful number, since it uses less digits than its factorization.

61390892160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 61390892160 in words is "sixty-one billion, three hundred ninety million, eight hundred ninety-two thousand, one hundred sixty".