61881610752 has 480 divisors, whose sum is σ = 203047004160. Its totient is φ = 18008801280.

The previous prime is 61881610751. The next prime is 61881610753. The reversal of 61881610752 is 25701618816.

61881610752 is a `hidden beast` number, since 618 + 8 + 16 + 10 + 7 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (61881610751) and next prime (61881610753).

It is a junction number, because it is equal to n+sod(n) for n = 61881610698 and 61881610707.

It is not an unprimeable number, because it can be changed into a prime (61881610751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87279774 + ... + 87280482.

It is an arithmetic number, because the mean of its divisors is an integer number (423014592).

Almost surely, 2^61881610752 is an apocalyptic number.

61881610752 is a gapful number since it is divisible by the number (62) 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 61881610752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101523502080).

61881610752 is an abundant number, since it is smaller than the sum of its proper divisors (141165393408).

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

61881610752 is a wasteful number, since it uses less digits than its factorization.

61881610752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 61881610752 in words is "sixty-one billion, eight hundred eighty-one million, six hundred ten thousand, seven hundred fifty-two".