1352977952256 has 960 divisors, whose sum is σ = 4961995536960. Its totient is φ = 361680076800.

The previous prime is 1352977952243. The next prime is 1352977952267. The reversal of 1352977952256 is 6522597792531.

1352977952256 is a `hidden beast` number, since 1 + 3 + 5 + 297 + 7 + 95 + 2 + 256 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1352977952193 and 1352977952202.

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, 3374009656 + ... + 3374010056.

It is an arithmetic number, because the mean of its divisors is an integer number (5168745351).

Almost surely, 2^{1352977952256} is an apocalyptic number.

1352977952256 is a gapful number since it is divisible by the number (16) 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 1352977952256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480997768480).

1352977952256 is an abundant number, since it is smaller than the sum of its proper divisors (3609017584704).

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

1352977952256 is a wasteful number, since it uses less digits than its factorization.

1352977952256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 723 counting only the distinct ones).

The product of its digits is 71442000, while the sum is 63.

The spelling of 1352977952256 in words is "one trillion, three hundred fifty-two billion, nine hundred seventy-seven million, nine hundred fifty-two thousand, two hundred fifty-six".