5035125122400 has 144 divisors (see below), whose sum is σ = 16698565379664. Its totient is φ = 1317366036480.

The previous prime is 5035125122381. The next prime is 5035125122411. The reversal of 5035125122400 is 42215215305.

It is a super-2 number, since 2×5035125122400² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19664959 + ... + 19919358.

It is an arithmetic number, because the mean of its divisors is an integer number (115962259581).

Almost surely, 2^{5035125122400} is an apocalyptic number.

5035125122400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5035125122400 is an abundant number, since it is smaller than the sum of its proper divisors (11663440257264).

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

5035125122400 is a wasteful number, since it uses less digits than its factorization.

5035125122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39584393 (or 39584380 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 5035125122400 in words is "five trillion, thirty-five billion, one hundred twenty-five million, one hundred twenty-two thousand, four hundred".