61956196116480 has 480 divisors, whose sum is σ = 222212680489800. Its totient is φ = 16511052939264.

The previous prime is 61956196116377. The next prime is 61956196116487. The reversal of 61956196116480 is 8461169165916.

61956196116480 is a `hidden beast` number, since 6 + 1 + 9 + 5 + 6 + 1 + 9 + 611 + 6 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58789390795776 + 3166805320704 = 7667424^2 + 1779552^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (61956196116487) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1337863566 + ... + 1337909874.

Almost surely, 2^{61956196116480} is an apocalyptic number.

61956196116480 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 61956196116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111106340244900).

61956196116480 is an abundant number, since it is smaller than the sum of its proper divisors (160256484373320).

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

61956196116480 is a wasteful number, since it uses less digits than its factorization.

61956196116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47961 (or 47932 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 61956196116480 in words is "sixty-one trillion, nine hundred fifty-six billion, one hundred ninety-six million, one hundred sixteen thousand, four hundred eighty".