128931812772840 has 1024 divisors, whose sum is σ = 554917340160000. Its totient is φ = 26391104087040.

The previous prime is 128931812772797. The next prime is 128931812772887. The reversal of 128931812772840 is 48277218139821.

128931812772840 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 3 + 1 + 81 + 277 + 284 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 272778154 + ... + 273250406.

It is an arithmetic number, because the mean of its divisors is an integer number (541911465000).

Almost surely, 2^{128931812772840} is an apocalyptic number.

128931812772840 is a gapful number since it is divisible by the number (10) 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 128931812772840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277458670080000).

128931812772840 is an abundant number, since it is smaller than the sum of its proper divisors (425985527387160).

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

128931812772840 is a wasteful number, since it uses less digits than its factorization.

128931812772840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472372 (or 472348 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 128931812772840 in words is "one hundred twenty-eight trillion, nine hundred thirty-one billion, eight hundred twelve million, seven hundred seventy-two thousand, eight hundred forty".