32138978256 has 640 divisors, whose sum is σ = 119740907520. Its totient is φ = 8012390400.

The previous prime is 32138978243. The next prime is 32138978273. The reversal of 32138978256 is 65287983123.

32138978256 is a `hidden beast` number, since 3 + 2 + 1 + 389 + 7 + 8 + 256 = 666.

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

Its product of digits (4354560) is a multiple of the sum of its prime factors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95367720 + ... + 95368056.

It is an arithmetic number, because the mean of its divisors is an integer number (187095168).

Almost surely, 2^32138978256 is an apocalyptic number.

32138978256 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 32138978256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59870453760).

32138978256 is an abundant number, since it is smaller than the sum of its proper divisors (87601929264).

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

32138978256 is a wasteful number, since it uses less digits than its factorization.

32138978256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 468 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 32138978256 in words is "thirty-two billion, one hundred thirty-eight million, nine hundred seventy-eight thousand, two hundred fifty-six".