1007350025472 has 432 divisors, whose sum is σ = 3433425515520. Its totient is φ = 277961932800.

The previous prime is 1007350025459. The next prime is 1007350025509. The reversal of 1007350025472 is 2745200537001.

1007350025472 is a `hidden beast` number, since 10 + 0 + 73 + 500 + 2 + 5 + 4 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 284480022 + ... + 284483562.

Almost surely, 2^{1007350025472} is an apocalyptic number.

1007350025472 is a gapful number since it is divisible by the number (12) 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 1007350025472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716712757760).

1007350025472 is an abundant number, since it is smaller than the sum of its proper divisors (2426075490048).

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

1007350025472 is a wasteful number, since it uses less digits than its factorization.

1007350025472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4170 (or 4153 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 1007350025472 in words is "one trillion, seven billion, three hundred fifty million, twenty-five thousand, four hundred seventy-two".