8425260748800 has 2340 divisors, whose sum is σ = 37099393814208. Its totient is φ = 1851310080000.

The previous prime is 8425260748739. The next prime is 8425260748847. The reversal of 8425260748800 is 88470625248.

8425260748800 is a `hidden beast` number, since 8 + 4 + 25 + 2 + 607 + 4 + 8 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 55796428725 + ... + 55796428875.

Almost surely, 2^{8425260748800} is an apocalyptic number.

8425260748800 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 8425260748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18549696907104).

8425260748800 is an abundant number, since it is smaller than the sum of its proper divisors (28674133065408).

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

8425260748800 is a wasteful number, since it uses less digits than its factorization.

8425260748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 8425260748800 in words is "eight trillion, four hundred twenty-five billion, two hundred sixty million, seven hundred forty-eight thousand, eight hundred".