5107034654400 has 1008 divisors, whose sum is σ = 21399509200896. Its totient is φ = 1040790159360.

The previous prime is 5107034654369. The next prime is 5107034654443. The reversal of 5107034654400 is 44564307015.

It is a happy number.

It is a super-2 number, since 2×5107034654400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 206190817 + ... + 206215583.

Almost surely, 2^{5107034654400} is an apocalyptic number.

5107034654400 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 5107034654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10699754600448).

5107034654400 is an abundant number, since it is smaller than the sum of its proper divisors (16292474546496).

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

5107034654400 is a wasteful number, since it uses less digits than its factorization.

5107034654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24854 (or 24820 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 5107034654400 in words is "five trillion, one hundred seven billion, thirty-four million, six hundred fifty-four thousand, four hundred".