5148031775040 has 3360 divisors, whose sum is σ = 24962093823744. Its totient is φ = 993257717760.

The previous prime is 5148031774997. The next prime is 5148031775137. The reversal of 5148031775040 is 405771308415.

5148031775040 is a `hidden beast` number, since 5 + 1 + 48 + 0 + 31 + 77 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 11889218664 + ... + 11889219096.

Almost surely, 2^{5148031775040} 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 5148031775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12481046911872).

5148031775040 is an abundant number, since it is smaller than the sum of its proper divisors (19814062048704).

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

5148031775040 is a wasteful number, since it uses less digits than its factorization.

5148031775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 5148031775040 in words is "five trillion, one hundred forty-eight billion, thirty-one million, seven hundred seventy-five thousand, forty".