59142273750 has 720 divisors, whose sum is σ = 203748779520. Its totient is φ = 12102048000.

The previous prime is 59142273661. The next prime is 59142273763. The reversal of 59142273750 is 5737224195.

It is a happy number.

59142273750 is a `hidden beast` number, since 5 + 91 + 422 + 73 + 75 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 59142273696 and 59142273705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1258346227 + ... + 1258346273.

It is an arithmetic number, because the mean of its divisors is an integer number (282984416).

Almost surely, 2^59142273750 is an apocalyptic number.

59142273750 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 59142273750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101874389760).

59142273750 is an abundant number, since it is smaller than the sum of its proper divisors (144606505770).

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

59142273750 is a wasteful number, since it uses less digits than its factorization.

59142273750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 59142273750 in words is "fifty-nine billion, one hundred forty-two million, two hundred seventy-three thousand, seven hundred fifty".