5149267200000 has 3456 divisors, whose sum is σ = 24592995947520. Its totient is φ = 1045094400000.

The previous prime is 5149267199953. The next prime is 5149267200017. The reversal of 5149267200000 is 27629415.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 119750399979 + ... + 119750400021.

It is an arithmetic number, because the mean of its divisors is an integer number (7116028920).

Almost surely, 2^{5149267200000} is an apocalyptic number.

5149267200000 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 5149267200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12296497973760).

5149267200000 is an abundant number, since it is smaller than the sum of its proper divisors (19443728747520).

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

5149267200000 is an frugal number, since it uses more digits than its factorization.

5149267200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 5149267200000 in words is "five trillion, one hundred forty-nine billion, two hundred sixty-seven million, two hundred thousand".