59948511584995 has 16 divisors (see below), whose sum is σ = 81184191239520. Its totient is φ = 42095506566400.

The previous prime is 59948511584993. The next prime is 59948511585019.

59948511584995 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 59948511584995 - 2¹ = 59948511584993 is a prime.

It is a super-3 number, since 3×59948511584995³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (59948511584993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18792635266 + ... + 18792638455.

It is an arithmetic number, because the mean of its divisors is an integer number (5074011952470).

Almost surely, 2^{59948511584995} is an apocalyptic number.

59948511584995 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

59948511584995 is a deficient number, since it is larger than the sum of its proper divisors (21235679654525).

59948511584995 is a wasteful number, since it uses less digits than its factorization.

59948511584995 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37585273766.

The product of its digits is 4199040000, while the sum is 82.

It can be divided in two parts, 59948511 and 584995, that added together give a palindrome (60533506).

The spelling of 59948511584995 in words is "fifty-nine trillion, nine hundred forty-eight billion, five hundred eleven million, five hundred eighty-four thousand, nine hundred ninety-five".