5274086400 has 396 divisors, whose sum is σ = 20610325944. Its totient is φ = 1277952000.

The previous prime is 5274086393. The next prime is 5274086417. The reversal of 5274086400 is 46804725.

5274086400 is a `hidden beast` number, since 5 + 2 + 7 + 4 + 0 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2533360 + ... + 2535440.

Almost surely, 2^5274086400 is an apocalyptic number.

5274086400 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 5274086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10305162972).

5274086400 is an abundant number, since it is smaller than the sum of its proper divisors (15336239544).

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

5274086400 is a wasteful number, since it uses less digits than its factorization.

5274086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5274086400 is about 72622.9054775420. The cubic root of 5274086400 is about 1740.6672035017.

The spelling of 5274086400 in words is "five billion, two hundred seventy-four million, eighty-six thousand, four hundred".