5376639122400 has 288 divisors, whose sum is σ = 21539644374528. Its totient is φ = 1134411724800.

The previous prime is 5376639122399. The next prime is 5376639122419. The reversal of 5376639122400 is 42219366735.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5376639122400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12090756 + ... + 12527555.

It is an arithmetic number, because the mean of its divisors is an integer number (74790431856).

Almost surely, 2^{5376639122400} is an apocalyptic number.

5376639122400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5376639122400 is an abundant number, since it is smaller than the sum of its proper divisors (16163005252128).

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

5376639122400 is a wasteful number, since it uses less digits than its factorization.

5376639122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24618354 (or 24618341 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 5376639122400 in words is "five trillion, three hundred seventy-six billion, six hundred thirty-nine million, one hundred twenty-two thousand, four hundred".