59978451456 has 960 divisors, whose sum is σ = 232666536960. Its totient is φ = 14817116160.

The previous prime is 59978451409. The next prime is 59978451461. The reversal of 59978451456 is 65415487995.

59978451456 is a `hidden beast` number, since 59 + 9 + 7 + 84 + 51 + 456 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 59978451393 and 59978451402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 895200735 + ... + 895200801.

It is an arithmetic number, because the mean of its divisors is an integer number (242360976).

Almost surely, 2^59978451456 is an apocalyptic number.

59978451456 is a gapful number since it is divisible by the number (56) 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 59978451456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116333268480).

59978451456 is an abundant number, since it is smaller than the sum of its proper divisors (172688085504).

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

59978451456 is a wasteful number, since it uses less digits than its factorization.

59978451456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 119 counting only the distinct ones).

The product of its digits is 54432000, while the sum is 63.

The spelling of 59978451456 in words is "fifty-nine billion, nine hundred seventy-eight million, four hundred fifty-one thousand, four hundred fifty-six".