10382154912 has 240 divisors, whose sum is σ = 31251128832. Its totient is φ = 3380382720.

The previous prime is 10382154907. The next prime is 10382154919. The reversal of 10382154912 is 21945128301.

10382154912 is a `hidden beast` number, since 103 + 8 + 2 + 1 + 549 + 1 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10382154919) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33169668 + ... + 33169980.

Almost surely, 2^10382154912 is an apocalyptic number.

10382154912 is a gapful number since it is divisible by the number (12) 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 10382154912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15625564416).

10382154912 is an abundant number, since it is smaller than the sum of its proper divisors (20868973920).

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

10382154912 is a wasteful number, since it uses less digits than its factorization.

10382154912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10382154912 in words is "ten billion, three hundred eighty-two million, one hundred fifty-four thousand, nine hundred twelve".