1009603857672 has 96 divisors (see below), whose sum is σ = 2903935488480. Its totient is φ = 315781424640.

The previous prime is 1009603857671. The next prime is 1009603857727. The reversal of 1009603857672 is 2767583069001.

1009603857672 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 60 + 3 + 8 + 576 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1009603857671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 840838 + ... + 1651125.

It is an arithmetic number, because the mean of its divisors is an integer number (30249328005).

Almost surely, 2^{1009603857672} is an apocalyptic number.

1009603857672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1009603857672 is an abundant number, since it is smaller than the sum of its proper divisors (1894331630808).

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

1009603857672 is a wasteful number, since it uses less digits than its factorization.

1009603857672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492323 (or 2492316 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 1009603857672 in words is "one trillion, nine billion, six hundred three million, eight hundred fifty-seven thousand, six hundred seventy-two".