5140672992000 has 2304 divisors, whose sum is σ = 23558998794240. Its totient is φ = 1074954240000.

The previous prime is 5140672991959. The next prime is 5140672992011. The reversal of 5140672992000 is 2992760415.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11872223784 + ... + 11872224216.

Almost surely, 2^{5140672992000} is an apocalyptic number.

5140672992000 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 5140672992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11779499397120).

5140672992000 is an abundant number, since it is smaller than the sum of its proper divisors (18418325802240).

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

5140672992000 is a wasteful number, since it uses less digits than its factorization.

5140672992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 5140672992000 in words is "five trillion, one hundred forty billion, six hundred seventy-two million, nine hundred ninety-two thousand".