5514999079200 has 576 divisors, whose sum is σ = 19852801339392. Its totient is φ = 1321386393600.

The previous prime is 5514999079153. The next prime is 5514999079201. The reversal of 5514999079200 is 29709994155.

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

It is not an unprimeable number, because it can be changed into a prime (5514999079201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209994070 + ... + 210020330.

It is an arithmetic number, because the mean of its divisors is an integer number (34466668992).

Almost surely, 2^{5514999079200} is an apocalyptic number.

5514999079200 is a gapful number since it is divisible by the number (50) 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 5514999079200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9926400669696).

5514999079200 is an abundant number, since it is smaller than the sum of its proper divisors (14337802260192).

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

5514999079200 is a wasteful number, since it uses less digits than its factorization.

5514999079200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26477 (or 26464 counting only the distinct ones).

The product of its (nonzero) digits is 9185400, while the sum is 60.

The spelling of 5514999079200 in words is "five trillion, five hundred fourteen billion, nine hundred ninety-nine million, seventy-nine thousand, two hundred".