32542788096 has 400 divisors, whose sum is σ = 119560514304. Its totient is φ = 8581718016.

The previous prime is 32542788079. The next prime is 32542788151. The reversal of 32542788096 is 69088724523.

32542788096 is a `hidden beast` number, since 3 + 2 + 542 + 7 + 8 + 8 + 0 + 96 = 666.

It is a super-2 number, since 2×32542788096² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3769641 + ... + 3778263.

Almost surely, 2^32542788096 is an apocalyptic number.

32542788096 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 32542788096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59780257152).

32542788096 is an abundant number, since it is smaller than the sum of its proper divisors (87017726208).

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

32542788096 is an equidigital number, since it uses as much as digits as its factorization.

32542788096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8673 (or 8648 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 32542788096 in words is "thirty-two billion, five hundred forty-two million, seven hundred eighty-eight thousand, ninety-six".