61882868800 has 84 divisors (see below), whose sum is σ = 153241032100. Its totient is φ = 24595384320.

The previous prime is 61882868759. The next prime is 61882868819. The reversal of 61882868800 is 886828816.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 15423652864 + 46459215936 = 124192^2 + 215544^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128026 + ... + 374374.

Almost surely, 2^61882868800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61882868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76620516050).

61882868800 is an abundant number, since it is smaller than the sum of its proper divisors (91358163300).

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

61882868800 is a wasteful number, since it uses less digits than its factorization.

61882868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246528 (or 246513 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 55.

The spelling of 61882868800 in words is "sixty-one billion, eight hundred eighty-two million, eight hundred sixty-eight thousand, eight hundred".