61928562752000 has 320 divisors, whose sum is σ = 176526491581440. Its totient is φ = 21227433984000.

The previous prime is 61928562751969. The next prime is 61928562752029. The reversal of 61928562752000 is 25726582916.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2118577385 + ... + 2118606615.

It is an arithmetic number, because the mean of its divisors is an integer number (551645286192).

Almost surely, 2^{61928562752000} 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 61928562752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88263245790720).

61928562752000 is an abundant number, since it is smaller than the sum of its proper divisors (114597928829440).

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

61928562752000 is an equidigital number, since it uses as much as digits as its factorization.

61928562752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34000 (or 33974 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 53.

The spelling of 61928562752000 in words is "sixty-one trillion, nine hundred twenty-eight billion, five hundred sixty-two million, seven hundred fifty-two thousand".