61960595652000 has 768 divisors, whose sum is σ = 235428938035200. Its totient is φ = 15810094080000.

The previous prime is 61960595651987. The next prime is 61960595652037. The reversal of 61960595652000 is 25659506916.

61960595652000 is a `hidden beast` number, since 6 + 1 + 9 + 6 + 0 + 59 + 565 + 20 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 297868030 + ... + 298075970.

It is an arithmetic number, because the mean of its divisors is an integer number (306548096400).

Almost surely, 2^{61960595652000} is an apocalyptic number.

61960595652000 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 61960595652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117714469017600).

61960595652000 is an abundant number, since it is smaller than the sum of its proper divisors (173468342383200).

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

61960595652000 is a wasteful number, since it uses less digits than its factorization.

61960595652000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208095 (or 208071 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 54.

The spelling of 61960595652000 in words is "sixty-one trillion, nine hundred sixty billion, five hundred ninety-five million, six hundred fifty-two thousand".