61152880958820 has 576 divisors, whose sum is σ = 215126405125632. Its totient is φ = 13773348864000.

The previous prime is 61152880958777. The next prime is 61152880958837. The reversal of 61152880958820 is 2885908825116.

61152880958820 is a `hidden beast` number, since 6 + 1 + 1 + 5 + 28 + 8 + 0 + 9 + 588 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13770067800 + ... + 13770072240.

It is an arithmetic number, because the mean of its divisors is an integer number (373483342232).

Almost surely, 2^{61152880958820} is an apocalyptic number.

61152880958820 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 61152880958820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107563202562816).

61152880958820 is an abundant number, since it is smaller than the sum of its proper divisors (153973524166812).

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

61152880958820 is a wasteful number, since it uses less digits than its factorization.

61152880958820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5172 (or 5167 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 63.

The spelling of 61152880958820 in words is "sixty-one trillion, one hundred fifty-two billion, eight hundred eighty million, nine hundred fifty-eight thousand, eight hundred twenty".