725325667200000 has 1056 divisors, whose sum is σ = 2693586205074240. Its totient is φ = 192795033600000.

The previous prime is 725325667199983. The next prime is 725325667200031. The reversal of 725325667200000 is 2766523527.

725325667200000 is a `hidden beast` number, since 7 + 2 + 532 + 56 + 67 + 2 + 0 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27043186590 + ... + 27043213410.

Almost surely, 2^{725325667200000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725325667200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346793102537120).

725325667200000 is an abundant number, since it is smaller than the sum of its proper divisors (1968260537874240).

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

725325667200000 is an equidigital number, since it uses as much as digits as its factorization.

725325667200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27188 (or 27144 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 725325667200000 in words is "seven hundred twenty-five trillion, three hundred twenty-five billion, six hundred sixty-seven million, two hundred thousand".