5514676880832 has 336 divisors, whose sum is σ = 19534568601600. Its totient is φ = 1451385593856.

The previous prime is 5514676880831. The next prime is 5514676880861. The reversal of 5514676880832 is 2380886764155.

5514676880832 is a `hidden beast` number, since 5 + 5 + 1 + 467 + 68 + 80 + 8 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×5514676880832² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 5514676880832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5514676880831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2365669 + ... + 4077467.

Almost surely, 2^{5514676880832} 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 5514676880832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9767284300800).

5514676880832 is an abundant number, since it is smaller than the sum of its proper divisors (14019891720768).

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

5514676880832 is a wasteful number, since it uses less digits than its factorization.

5514676880832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711888 (or 1711875 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 5514676880832 in words is "five trillion, five hundred fourteen billion, six hundred seventy-six million, eight hundred eighty thousand, eight hundred thirty-two".