5109901070400 has 3360 divisors, whose sum is σ = 23824642744320. Its totient is φ = 1048080384000.

The previous prime is 5109901070389. The next prime is 5109901070459. The reversal of 5109901070400 is 40701099015.

5109901070400 is a `hidden beast` number, since 510 + 9 + 90 + 10 + 7 + 0 + 40 + 0 = 666.

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

It is a super-2 number, since 2×5109901070400² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 39006878335 + ... + 39006878465.

Almost surely, 2^{5109901070400} is an apocalyptic number.

5109901070400 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 5109901070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11912321372160).

5109901070400 is an abundant number, since it is smaller than the sum of its proper divisors (18714741673920).

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

5109901070400 is a wasteful number, since it uses less digits than its factorization.

5109901070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 5109901070400 in words is "five trillion, one hundred nine billion, nine hundred one million, seventy thousand, four hundred".