59119954900992 has 240 divisors, whose sum is σ = 179005900993920. Its totient is φ = 19436693520384.

The previous prime is 59119954900991. The next prime is 59119954901069. The reversal of 59119954900992 is 29900945991195.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 59119954900992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59119954900991) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9668833 + ... + 14550815.

It is an arithmetic number, because the mean of its divisors is an integer number (745857920808).

Almost surely, 2^{59119954900992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59119954900992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89502950496960).

59119954900992 is an abundant number, since it is smaller than the sum of its proper divisors (119885946092928).

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

59119954900992 is an equidigital number, since it uses as much as digits as its factorization.

59119954900992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4882090 (or 4882061 counting only the distinct ones).

The product of its (nonzero) digits is 106288200, while the sum is 72.

The spelling of 59119954900992 in words is "fifty-nine trillion, one hundred nineteen billion, nine hundred fifty-four million, nine hundred thousand, nine hundred ninety-two".