1351587735264 has 96 divisors (see below), whose sum is σ = 3826480724640. Its totient is φ = 415258601472.

The previous prime is 1351587735221. The next prime is 1351587735269. The reversal of 1351587735264 is 4625377851531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1351587735264² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1351587735269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45042 + ... + 1644750.

It is an arithmetic number, because the mean of its divisors is an integer number (39859174215).

Almost surely, 2^{1351587735264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1351587735264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913240362320).

1351587735264 is an abundant number, since it is smaller than the sum of its proper divisors (2474892989376).

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

1351587735264 is a wasteful number, since it uses less digits than its factorization.

1351587735264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600412 (or 1600404 counting only the distinct ones).

The product of its digits is 21168000, while the sum is 57.

The spelling of 1351587735264 in words is "one trillion, three hundred fifty-one billion, five hundred eighty-seven million, seven hundred thirty-five thousand, two hundred sixty-four".