59870638717890 has 1152 divisors, whose sum is σ = 206708412395520. Its totient is φ = 10768882037760.

The previous prime is 59870638717849. The next prime is 59870638717921. The reversal of 59870638717890 is 9871783607895.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 250504764391 + ... + 250504764629.

It is an arithmetic number, because the mean of its divisors is an integer number (179434385760).

Almost surely, 2^{59870638717890} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59870638717890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103354206197760).

59870638717890 is an abundant number, since it is smaller than the sum of its proper divisors (146837773677630).

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

59870638717890 is a wasteful number, since it uses less digits than its factorization.

59870638717890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1280240640, while the sum is 78.

The spelling of 59870638717890 in words is "fifty-nine trillion, eight hundred seventy billion, six hundred thirty-eight million, seven hundred seventeen thousand, eight hundred ninety".