5370001382400 has 264 divisors, whose sum is σ = 18083018420784. Its totient is φ = 1404980428800.

The previous prime is 5370001382399. The next prime is 5370001382401. The reversal of 5370001382400 is 42831000735.

It is an interprime number because it is at equal distance from previous prime (5370001382399) and next prime (5370001382401).

It is a super-2 number, since 2×5370001382400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5370001382401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3410760 + ... + 4730040.

Almost surely, 2^{5370001382400} is an apocalyptic number.

5370001382400 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 5370001382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9041509210392).

5370001382400 is an abundant number, since it is smaller than the sum of its proper divisors (12713017038384).

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

5370001382400 is a wasteful number, since it uses less digits than its factorization.

5370001382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319367 (or 1319344 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 5370001382400 in words is "five trillion, three hundred seventy billion, one million, three hundred eighty-two thousand, four hundred".