32254827892992 has 288 divisors, whose sum is σ = 98912284540160. Its totient is φ = 10359453450240.

The previous prime is 32254827892967. The next prime is 32254827892993. The reversal of 32254827892992 is 29929872845223.

It is a happy number.

32254827892992 is a `hidden beast` number, since 3 + 2 + 2 + 548 + 2 + 78 + 9 + 2 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 32254827892992.

It is not an unprimeable number, because it can be changed into a prime (32254827892993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25729392 + ... + 26953872.

Almost surely, 2^{32254827892992} is an apocalyptic number.

32254827892992 is a gapful number since it is divisible by the number (32) 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 32254827892992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49456142270080).

32254827892992 is an abundant number, since it is smaller than the sum of its proper divisors (66657456647168).

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

32254827892992 is a wasteful number, since it uses less digits than its factorization.

32254827892992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224646 (or 1224626 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 32254827892992 in words is "thirty-two trillion, two hundred fifty-four billion, eight hundred twenty-seven million, eight hundred ninety-two thousand, nine hundred ninety-two".