10288672839936 has 432 divisors, whose sum is σ = 32678774489088. Its totient is φ = 3099053260800.

The previous prime is 10288672839923. The next prime is 10288672839947. The reversal of 10288672839936 is 63993827688201.

10288672839936 is a `hidden beast` number, since 1 + 0 + 288 + 67 + 283 + 9 + 9 + 3 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154171056 + ... + 154237776.

Almost surely, 2^{10288672839936} is an apocalyptic number.

10288672839936 is a gapful number since it is divisible by the number (16) 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 10288672839936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16339387244544).

10288672839936 is an abundant number, since it is smaller than the sum of its proper divisors (22390101649152).

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

10288672839936 is a wasteful number, since it uses less digits than its factorization.

10288672839936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66918 (or 66901 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 10288672839936 in words is "ten trillion, two hundred eighty-eight billion, six hundred seventy-two million, eight hundred thirty-nine thousand, nine hundred thirty-six".