1532953952256 has 272 divisors, whose sum is σ = 4174223379840. Its totient is φ = 500296581120.

The previous prime is 1532953952191. The next prime is 1532953952269. The reversal of 1532953952256 is 6522593592351.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1532953952196 and 1532953952205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2694119140 + ... + 2694119708.

Almost surely, 2^{1532953952256} is an apocalyptic number.

1532953952256 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 1532953952256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087111689920).

1532953952256 is an abundant number, since it is smaller than the sum of its proper divisors (2641269427584).

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

1532953952256 is an frugal number, since it uses more digits than its factorization.

1532953952256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 838 counting only the distinct ones).

The product of its digits is 21870000, while the sum is 57.

The spelling of 1532953952256 in words is "one trillion, five hundred thirty-two billion, nine hundred fifty-three million, nine hundred fifty-two thousand, two hundred fifty-six".