1012653313920 has 192 divisors, whose sum is σ = 3506052466800. Its totient is φ = 269327794176.

The previous prime is 1012653313897. The next prime is 1012653313921. The reversal of 1012653313920 is 293133562101.

1012653313920 is a `hidden beast` number, since 1 + 0 + 1 + 26 + 533 + 13 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012653313921) 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, 1951104 + ... + 2414976.

Almost surely, 2^{1012653313920} is an apocalyptic number.

1012653313920 is a gapful number since it is divisible by the number (10) 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 1012653313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753026233400).

1012653313920 is an abundant number, since it is smaller than the sum of its proper divisors (2493399152880).

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

1012653313920 is a wasteful number, since it uses less digits than its factorization.

1012653313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464277 (or 464262 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 1012653313920 in words is "one trillion, twelve billion, six hundred fifty-three million, three hundred thirteen thousand, nine hundred twenty".