5065053110400 has 384 divisors, whose sum is σ = 17108987544000. Its totient is φ = 1316333813760.

The previous prime is 5065053110371. The next prime is 5065053110437. The reversal of 5065053110400 is 40113505605.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×5065053110400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188636176 + ... + 188663024.

Almost surely, 2^{5065053110400} is an apocalyptic number.

5065053110400 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 5065053110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8554493772000).

5065053110400 is an abundant number, since it is smaller than the sum of its proper divisors (12043934433600).

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

5065053110400 is a wasteful number, since it uses less digits than its factorization.

5065053110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27376 (or 27359 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 5065053110400 in words is "five trillion, sixty-five billion, fifty-three million, one hundred ten thousand, four hundred".