5376936038400 has 2184 divisors, whose sum is σ = 22380475057920. Its totient is φ = 1272745820160.

The previous prime is 5376936038393. The next prime is 5376936038401. The reversal of 5376936038400 is 48306396735.

5376936038400 is a `hidden beast` number, since 53 + 76 + 93 + 6 + 0 + 38 + 400 = 666.

It is a super-2 number, since 2×5376936038400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5376936038401) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 24111820689 + ... + 24111820911.

Almost surely, 2^{5376936038400} is an apocalyptic number.

5376936038400 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 5376936038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11190237528960).

5376936038400 is an abundant number, since it is smaller than the sum of its proper divisors (17003539019520).

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

5376936038400 is a wasteful number, since it uses less digits than its factorization.

5376936038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 5376936038400 in words is "five trillion, three hundred seventy-six billion, nine hundred thirty-six million, thirty-eight thousand, four hundred".