1364052957120 has 672 divisors, whose sum is σ = 5575016918016. Its totient is φ = 299626905600.

The previous prime is 1364052957109. The next prime is 1364052957181. The reversal of 1364052957120 is 217592504631.

1364052957120 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 0 + 52 + 9 + 571 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55367205 + ... + 55391835.

It is an arithmetic number, because the mean of its divisors is an integer number (8296156128).

Almost surely, 2^{1364052957120} is an apocalyptic number.

1364052957120 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 1364052957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2787508459008).

1364052957120 is an abundant number, since it is smaller than the sum of its proper divisors (4210963960896).

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

1364052957120 is a wasteful number, since it uses less digits than its factorization.

1364052957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24769 (or 24756 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 1364052957120 in words is "one trillion, three hundred sixty-four billion, fifty-two million, nine hundred fifty-seven thousand, one hundred twenty".