5348574000 has 960 divisors, whose sum is σ = 24768986112. Its totient is φ = 1041408000.

The previous prime is 5348573987. The next prime is 5348574019. The reversal of 5348574000 is 4758435.

5348574000 is a `hidden beast` number, since 534 + 85 + 7 + 40 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 23561887 + ... + 23562113.

Almost surely, 2^5348574000 is an apocalyptic number.

5348574000 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 5348574000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12384493056).

5348574000 is an abundant number, since it is smaller than the sum of its proper divisors (19420412112).

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

5348574000 is a wasteful number, since it uses less digits than its factorization.

5348574000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 5348574000 is about 73133.9456066743. The cubic root of 5348574000 is about 1748.8235903069.

The spelling of 5348574000 in words is "five billion, three hundred forty-eight million, five hundred seventy-four thousand".