61233428459520 has 416 divisors, whose sum is σ = 217849552833600. Its totient is φ = 16317117628416.

The previous prime is 61233428459509. The next prime is 61233428459537. The reversal of 61233428459520 is 2595482433216.

61233428459520 is a `hidden beast` number, since 6 + 1 + 2 + 3 + 3 + 4 + 28 + 4 + 595 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 779081344 + ... + 779159936.

Almost surely, 2^{61233428459520} is an apocalyptic number.

61233428459520 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 61233428459520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108924776416800).

61233428459520 is an abundant number, since it is smaller than the sum of its proper divisors (156616124374080).

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

61233428459520 is a wasteful number, since it uses less digits than its factorization.

61233428459520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80040 (or 80012 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 61233428459520 in words is "sixty-one trillion, two hundred thirty-three billion, four hundred twenty-eight million, four hundred fifty-nine thousand, five hundred twenty".