61955917048800 has 432 divisors, whose sum is σ = 226917519755472. Its totient is φ = 16495770009600.

The previous prime is 61955917048799. The next prime is 61955917048807. The reversal of 61955917048800 is 884071955916.

61955917048800 is a `hidden beast` number, since 6 + 1 + 9 + 559 + 1 + 70 + 4 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61955917048807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 124361802 + ... + 124858998.

It is an arithmetic number, because the mean of its divisors is an integer number (525272036471).

Almost surely, 2^{61955917048800} is an apocalyptic number.

61955917048800 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 61955917048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113458759877736).

61955917048800 is an abundant number, since it is smaller than the sum of its proper divisors (164961602706672).

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

61955917048800 is a wasteful number, since it uses less digits than its factorization.

61955917048800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497873 (or 497848 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 61955917048800 in words is "sixty-one trillion, nine hundred fifty-five billion, nine hundred seventeen million, forty-eight thousand, eight hundred".