5370117026400 has 1152 divisors, whose sum is σ = 22538067471360. Its totient is φ = 1208699781120.

The previous prime is 5370117026377. The next prime is 5370117026459. The reversal of 5370117026400 is 46207110735.

It is a happy number.

5370117026400 is a `hidden beast` number, since 5 + 3 + 7 + 0 + 1 + 1 + 7 + 0 + 2 + 640 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3329271994 + ... + 3329273606.

It is an arithmetic number, because the mean of its divisors is an integer number (19564294680).

Almost surely, 2^{5370117026400} is an apocalyptic number.

5370117026400 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 5370117026400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11269033735680).

5370117026400 is an abundant number, since it is smaller than the sum of its proper divisors (17167950444960).

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

5370117026400 is a wasteful number, since it uses less digits than its factorization.

5370117026400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 5370117026400 in words is "five trillion, three hundred seventy billion, one hundred seventeen million, twenty-six thousand, four hundred".