5571146400 has 288 divisors, whose sum is σ = 18926788608. Its totient is φ = 1421798400.

The previous prime is 5571146393. The next prime is 5571146401. The reversal of 5571146400 is 46411755.

It is not an unprimeable number, because it can be changed into a prime (5571146401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7662837 + ... + 7663563.

It is an arithmetic number, because the mean of its divisors is an integer number (65718016).

Almost surely, 2^5571146400 is an apocalyptic number.

5571146400 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 5571146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9463394304).

5571146400 is an abundant number, since it is smaller than the sum of its proper divisors (13355642208).

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

5571146400 is a wasteful number, since it uses less digits than its factorization.

5571146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 5571146400 is about 74640.1125401081. The cubic root of 5571146400 is about 1772.7528423304.

Subtracting from 5571146400 its product of nonzero digits (16800), we obtain a square (5571129600 = 74640²).

The spelling of 5571146400 in words is "five billion, five hundred seventy-one million, one hundred forty-six thousand, four hundred".