59140220400 has 180 divisors, whose sum is σ = 210239200080. Its totient is φ = 15386035200.

The previous prime is 59140220387. The next prime is 59140220497. The reversal of 59140220400 is 402204195.

59140220400 is a `hidden beast` number, since 59 + 1 + 402 + 204 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52740 + ... + 347939.

It is an arithmetic number, because the mean of its divisors is an integer number (1167995556).

Almost surely, 2^59140220400 is an apocalyptic number.

59140220400 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 59140220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105119600040).

59140220400 is an abundant number, since it is smaller than the sum of its proper divisors (151098979680).

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

59140220400 is a wasteful number, since it uses less digits than its factorization.

59140220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400744 (or 400730 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 59140220400 its reverse (402204195), we get a palindrome (59542424595).

The spelling of 59140220400 in words is "fifty-nine billion, one hundred forty million, two hundred twenty thousand, four hundred".