1013952079872 has 336 divisors, whose sum is σ = 3047148468000. Its totient is φ = 337159397376.

The previous prime is 1013952079849. The next prime is 1013952079919. The reversal of 1013952079872 is 2789702593101.

It is a happy number.

1013952079872 is a `hidden beast` number, since 1 + 0 + 1 + 39 + 520 + 7 + 9 + 87 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1103320629 + ... + 1103321547.

It is an arithmetic number, because the mean of its divisors is an integer number (9068894250).

Almost surely, 2^{1013952079872} is an apocalyptic number.

1013952079872 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 1013952079872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523574234000).

1013952079872 is an abundant number, since it is smaller than the sum of its proper divisors (2033196388128).

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

1013952079872 is an frugal number, since it uses more digits than its factorization.

1013952079872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 1013952079872 in words is "one trillion, thirteen billion, nine hundred fifty-two million, seventy-nine thousand, eight hundred seventy-two".