8251905600 has 189 divisors, whose sum is σ = 29368016067. Its totient is φ = 2197601280.

The previous prime is 8251905577. The next prime is 8251905611. The reversal of 8251905600 is 65091528.

It is a happy number.

The square root of 8251905600 is 90840.

It is a perfect power (a square), and thus also a powerful number.

8251905600 is a `hidden beast` number, since 8 + 2 + 5 + 1 + 90 + 560 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4359744 + 8247545856 = 2088^2 + 90816^2 .

It is a super-2 number, since 2×8251905600² (a number of 21 digits) contains 22 as substring.

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 26 ways as a sum of consecutive naturals, for example, 10900422 + ... + 10901178.

Almost surely, 2^8251905600 is an apocalyptic number.

8251905600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8251905600 is the 90840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8251905600

8251905600 is an abundant number, since it is smaller than the sum of its proper divisors (21116110467).

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

8251905600 is an equidigital number, since it uses as much as digits as its factorization.

8251905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The cubic root of 8251905600 is about 2020.7755738289.

Multiplying 8251905600 by its sum of digits (36), we get a square (297068601600 = 545040²).

8251905600 divided by its sum of digits (36) gives a square (229219600 = 15140²).

The spelling of 8251905600 in words is "eight billion, two hundred fifty-one million, nine hundred five thousand, six hundred".