59985057600 has 1344 divisors, whose sum is σ = 255888622080. Its totient is φ = 13536460800.

The previous prime is 59985057581. The next prime is 59985057619. The reversal of 59985057600 is 675058995.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (59985057581) and next prime (59985057619).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 191 ways as a sum of consecutive naturals, for example, 582379149 + ... + 582379251.

It is an arithmetic number, because the mean of its divisors is an integer number (190393320).

Almost surely, 2^59985057600 is an apocalyptic number.

59985057600 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 59985057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127944311040).

59985057600 is an abundant number, since it is smaller than the sum of its proper divisors (195903564480).

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

59985057600 is a wasteful number, since it uses less digits than its factorization.

59985057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The spelling of 59985057600 in words is "fifty-nine billion, nine hundred eighty-five million, fifty-seven thousand, six hundred".