59478220800 has 756 divisors, whose sum is σ = 226368137814. Its totient is φ = 14922547200.

The previous prime is 59478220759. The next prime is 59478220849. The reversal of 59478220800 is 802287495.

It can be written as a sum of positive squares in 3 ways, for example, as 26696945664 + 32781275136 = 163392^2 + 181056^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 975052770 + ... + 975052830.

Almost surely, 2^59478220800 is an apocalyptic number.

59478220800 is a gapful number since it is divisible by the number (50) 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 59478220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113184068907).

59478220800 is an abundant number, since it is smaller than the sum of its proper divisors (166889917014).

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

59478220800 is a wasteful number, since it uses less digits than its factorization.

59478220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 59478220800 in words is "fifty-nine billion, four hundred seventy-eight million, two hundred twenty thousand, eight hundred".