61882073088 has 256 divisors, whose sum is σ = 182323612800. Its totient is φ = 18512609280.

The previous prime is 61882073087. The next prime is 61882073089. The reversal of 61882073088 is 88037028816.

It is an interprime number because it is at equal distance from previous prime (61882073087) and next prime (61882073089).

It is a tau number, because it is divible by the number of its divisors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 61882073088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61882073083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96239295 + ... + 96239937.

Almost surely, 2^61882073088 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 61882073088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91161806400).

61882073088 is an abundant number, since it is smaller than the sum of its proper divisors (120441539712).

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

61882073088 is an equidigital number, since it uses as much as digits as its factorization.

61882073088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The spelling of 61882073088 in words is "sixty-one billion, eight hundred eighty-two million, seventy-three thousand, eighty-eight".