61395125575680 has 4032 divisors, whose sum is σ = 268722794471040. Its totient is φ = 13355804786688.

The previous prime is 61395125575639. The next prime is 61395125575709. The reversal of 61395125575680 is 8657552159316.

61395125575680 is a `hidden beast` number, since 6 + 1 + 3 + 9 + 5 + 12 + 5 + 57 + 568 + 0 = 666.

It is a super-2 number, since 2×61395125575680² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 543319695304 + ... + 543319695416.

It is an arithmetic number, because the mean of its divisors is an integer number (66647518470).

Almost surely, 2^{61395125575680} is an apocalyptic number.

61395125575680 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 61395125575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134361397235520).

61395125575680 is an abundant number, since it is smaller than the sum of its proper divisors (207327668895360).

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

61395125575680 is a wasteful number, since it uses less digits than its factorization.

61395125575680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 68040000, while the sum is 63.

The spelling of 61395125575680 in words is "sixty-one trillion, three hundred ninety-five billion, one hundred twenty-five million, five hundred seventy-five thousand, six hundred eighty".