1352138492880 has 480 divisors, whose sum is σ = 5421421756800. Its totient is φ = 308850941952.

The previous prime is 1352138492879. The next prime is 1352138492951. The reversal of 1352138492880 is 882948312531.

1352138492880 is a `hidden beast` number, since 1 + 3 + 521 + 38 + 4 + 9 + 2 + 8 + 80 = 666.

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

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, 199928379 + ... + 199935141.

It is an arithmetic number, because the mean of its divisors is an integer number (11294628660).

Almost surely, 2^{1352138492880} is an apocalyptic number.

1352138492880 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 1352138492880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710710878400).

1352138492880 is an abundant number, since it is smaller than the sum of its proper divisors (4069283263920).

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

1352138492880 is a wasteful number, since it uses less digits than its factorization.

1352138492880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8688 (or 8669 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 1352138492880 in words is "one trillion, three hundred fifty-two billion, one hundred thirty-eight million, four hundred ninety-two thousand, eight hundred eighty".