5010746091120 has 1920 divisors, whose sum is σ = 23315307724800. Its totient is φ = 965092423680.

The previous prime is 5010746091083. The next prime is 5010746091157. The reversal of 5010746091120 is 211906470105.

5010746091120 is a `hidden beast` number, since 5 + 0 + 10 + 7 + 4 + 609 + 11 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (5010746091083) and next prime (5010746091157).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1633759827 + ... + 1633762893.

It is an arithmetic number, because the mean of its divisors is an integer number (12143389440).

Almost surely, 2^{5010746091120} 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 5010746091120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11657653862400).

5010746091120 is an abundant number, since it is smaller than the sum of its proper divisors (18304561633680).

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

5010746091120 is a wasteful number, since it uses less digits than its factorization.

5010746091120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184 (or 3161 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 5010746091120 in words is "five trillion, ten billion, seven hundred forty-six million, ninety-one thousand, one hundred twenty".