4800025497600 has 468 divisors, whose sum is σ = 17210692250752. Its totient is φ = 1278664704000.

The previous prime is 4800025497587. The next prime is 4800025497601. The reversal of 4800025497600 is 67945200084.

It is a happy number.

4800025497600 is a `hidden beast` number, since 4 + 80 + 0 + 0 + 25 + 497 + 60 + 0 = 666.

It is a super-2 number, since 2×4800025497600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4800025497601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1134487485 + ... + 1134491715.

Almost surely, 2^{4800025497600} is an apocalyptic number.

4800025497600 is a gapful number since it is divisible by the number (40) 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 4800025497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8605346125376).

4800025497600 is an abundant number, since it is smaller than the sum of its proper divisors (12410666753152).

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

4800025497600 is a wasteful number, since it uses less digits than its factorization.

4800025497600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5502 (or 5472 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 4800025497600 in words is "four trillion, eight hundred billion, twenty-five million, four hundred ninety-seven thousand, six hundred".