32825025357696 has 768 divisors, whose sum is σ = 115874824665600. Its totient is φ = 8776623144960.

The previous prime is 32825025357689. The next prime is 32825025357703. The reversal of 32825025357696 is 69675352052823.

32825025357696 is a `hidden beast` number, since 3 + 2 + 8 + 2 + 5 + 0 + 2 + 53 + 576 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (32825025357689) and next prime (32825025357703).

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, 10165692210 + ... + 10165695438.

It is an arithmetic number, because the mean of its divisors is an integer number (150878677950).

Almost surely, 2^{32825025357696} is an apocalyptic number.

32825025357696 is a gapful number since it is divisible by the number (36) 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 32825025357696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57937412332800).

32825025357696 is an abundant number, since it is smaller than the sum of its proper divisors (83049799307904).

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

32825025357696 is a wasteful number, since it uses less digits than its factorization.

32825025357696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5979 (or 5964 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 63.

The spelling of 32825025357696 in words is "thirty-two trillion, eight hundred twenty-five billion, twenty-five million, three hundred fifty-seven thousand, six hundred ninety-six".