61236458880 has 384 divisors, whose sum is σ = 218165050080. Its totient is φ = 14557446144.

The previous prime is 61236458869. The next prime is 61236458909. The reversal of 61236458880 is 8885463216.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11780442 + ... + 11785638.

Almost surely, 2^61236458880 is an apocalyptic number.

61236458880 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 61236458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109082525040).

61236458880 is an abundant number, since it is smaller than the sum of its proper divisors (156928591200).

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

61236458880 is a wasteful number, since it uses less digits than its factorization.

61236458880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5274 (or 5243 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 61236458880 in words is "sixty-one billion, two hundred thirty-six million, four hundred fifty-eight thousand, eight hundred eighty".