59000098597440 has 672 divisors, whose sum is σ = 253419159302400. Its totient is φ = 11316700200960.

The previous prime is 59000098597367. The next prime is 59000098597463. The reversal of 59000098597440 is 4479589000095.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7779786 + ... + 13361334.

It is an arithmetic number, because the mean of its divisors is an integer number (377111844200).

Almost surely, 2^{59000098597440} 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 59000098597440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126709579651200).

59000098597440 is an abundant number, since it is smaller than the sum of its proper divisors (194419060704960).

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

59000098597440 is a wasteful number, since it uses less digits than its factorization.

59000098597440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5581611 (or 5581590 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 60.

The spelling of 59000098597440 in words is "fifty-nine trillion, ninety-eight million, five hundred ninety-seven thousand, four hundred forty".