61205760000 has 1920 divisors, whose sum is σ = 294745651200. Its totient is φ = 12165120000.

The previous prime is 61205759987. The next prime is 61205760001. The reversal of 61205760000 is 6750216.

61205760000 is a `hidden beast` number, since 6 + 1 + 2 + 0 + 57 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×61205760000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61205760001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2661119989 + ... + 2661120011.

It is an arithmetic number, because the mean of its divisors is an integer number (153513360).

Almost surely, 2^61205760000 is an apocalyptic number.

61205760000 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 61205760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147372825600).

61205760000 is an abundant number, since it is smaller than the sum of its proper divisors (233539891200).

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

61205760000 is a wasteful number, since it uses less digits than its factorization.

61205760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 61205760000 in words is "sixty-one billion, two hundred five million, seven hundred sixty thousand".