66587289837504 has 112 divisors (see below), whose sum is σ = 180289790385408. Its totient is φ = 21677930846208.

The previous prime is 66587289837479. The next prime is 66587289837533. The reversal of 66587289837504 is 40573898278566.

66587289837504 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 66587289837504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110470189 + ... + 111071315.

Almost surely, 2^{66587289837504} is an apocalyptic number.

66587289837504 is a gapful number since it is divisible by the number (64) 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 66587289837504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90144895192704).

66587289837504 is an abundant number, since it is smaller than the sum of its proper divisors (113702500547904).

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

66587289837504 is a wasteful number, since it uses less digits than its factorization.

66587289837504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614602 (or 614592 counting only the distinct ones).

The product of its (nonzero) digits is 4877107200, while the sum is 78.

The spelling of 66587289837504 in words is "sixty-six trillion, five hundred eighty-seven billion, two hundred eighty-nine million, eight hundred thirty-seven thousand, five hundred four".