8251562400 has 288 divisors, whose sum is σ = 28239317568. Its totient is φ = 2090188800.

The previous prime is 8251562399. The next prime is 8251562413. The reversal of 8251562400 is 42651528.

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, 3817320 + ... + 3819480.

It is an arithmetic number, because the mean of its divisors is an integer number (98053186).

Almost surely, 2^8251562400 is an apocalyptic number.

8251562400 is a gapful number since it is divisible by the number (80) 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 8251562400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14119658784).

8251562400 is an abundant number, since it is smaller than the sum of its proper divisors (19987755168).

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

8251562400 is a wasteful number, since it uses less digits than its factorization.

8251562400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 8251562400 is about 90838.1109446911. The cubic root of 8251562400 is about 2020.7475584901.

The spelling of 8251562400 in words is "eight billion, two hundred fifty-one million, five hundred sixty-two thousand, four hundred".