5175374657400 has 144 divisors (see below), whose sum is σ = 17384634198360. Its totient is φ = 1379782214400.

The previous prime is 5175374657393. The next prime is 5175374657423. The reversal of 5175374657400 is 47564735715.

5175374657400 is a `hidden beast` number, since 5 + 1 + 7 + 537 + 4 + 65 + 7 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7542655 + ... + 8200145.

Almost surely, 2^{5175374657400} is an apocalyptic number.

5175374657400 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 5175374657400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8692317099180).

5175374657400 is an abundant number, since it is smaller than the sum of its proper divisors (12209259540960).

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

5175374657400 is a wasteful number, since it uses less digits than its factorization.

5175374657400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661886 (or 661874 counting only the distinct ones).

The product of its (nonzero) digits is 12348000, while the sum is 54.

The spelling of 5175374657400 in words is "five trillion, one hundred seventy-five billion, three hundred seventy-four million, six hundred fifty-seven thousand, four hundred".