1007854159872 has 768 divisors, whose sum is σ = 3423729254400. Its totient is φ = 257021706240.

The previous prime is 1007854159853. The next prime is 1007854159883. The reversal of 1007854159872 is 2789514587001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1201256029 + ... + 1201256867.

It is an arithmetic number, because the mean of its divisors is an integer number (4457980800).

Almost surely, 2^{1007854159872} is an apocalyptic number.

1007854159872 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 1007854159872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711864627200).

1007854159872 is an abundant number, since it is smaller than the sum of its proper divisors (2415875094528).

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

1007854159872 is a wasteful number, since it uses less digits than its factorization.

1007854159872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 57.

The spelling of 1007854159872 in words is "one trillion, seven billion, eight hundred fifty-four million, one hundred fifty-nine thousand, eight hundred seventy-two".