5267274405600 has 288 divisors, whose sum is σ = 17860436858880. Its totient is φ = 1346823936000.

The previous prime is 5267274405587. The next prime is 5267274405671. The reversal of 5267274405600 is 65044727625.

It is a super-2 number, since 2×5267274405600² (a number of 26 digits) contains 22 as substring.

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 5267274405600.

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, 7784845 + ... + 8434355.

It is an arithmetic number, because the mean of its divisors is an integer number (62015405760).

Almost surely, 2^{5267274405600} is an apocalyptic number.

5267274405600 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 5267274405600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8930218429440).

5267274405600 is an abundant number, since it is smaller than the sum of its proper divisors (12593162453280).

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

5267274405600 is a wasteful number, since it uses less digits than its factorization.

5267274405600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649674 (or 649661 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 48.

The spelling of 5267274405600 in words is "five trillion, two hundred sixty-seven billion, two hundred seventy-four million, four hundred five thousand, six hundred".