61307924160000 has 1600 divisors, whose sum is σ = 257720868523008. Its totient is φ = 12614959104000.

The previous prime is 61307924159887. The next prime is 61307924160047. The reversal of 61307924160000 is 6142970316.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2627508334 + ... + 2627531666.

Almost surely, 2^{61307924160000} is an apocalyptic number.

61307924160000 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 61307924160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128860434261504).

61307924160000 is an abundant number, since it is smaller than the sum of its proper divisors (196412944363008).

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

61307924160000 is a wasteful number, since it uses less digits than its factorization.

61307924160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23421 (or 23390 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 61307924160000 in words is "sixty-one trillion, three hundred seven billion, nine hundred twenty-four million, one hundred sixty thousand".