1007272511456 has 48 divisors (see below), whose sum is σ = 1994304473280. Its totient is φ = 500789813760.

The previous prime is 1007272511419. The next prime is 1007272511477. The reversal of 1007272511456 is 6541152727001.

1007272511456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4299950 + ... + 4528146.

It is an arithmetic number, because the mean of its divisors is an integer number (41548009860).

Almost surely, 2^{1007272511456} is an apocalyptic number.

1007272511456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1007272511456 is a deficient number, since it is larger than the sum of its proper divisors (987031961824).

1007272511456 is a wasteful number, since it uses less digits than its factorization.

1007272511456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228987 (or 228979 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 41.

The spelling of 1007272511456 in words is "one trillion, seven billion, two hundred seventy-two million, five hundred eleven thousand, four hundred fifty-six".