10132786944 has 432 divisors, whose sum is σ = 36010374400. Its totient is φ = 2675441664.

The previous prime is 10132786907. The next prime is 10132786949. The reversal of 10132786944 is 44968723101.

It is a self number, because there is not a number n which added to its sum of digits gives 10132786944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132786949) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13176192 + ... + 13176960.

Almost surely, 2^10132786944 is an apocalyptic number.

10132786944 is a gapful number since it is divisible by the number (14) 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 10132786944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18005187200).

10132786944 is an abundant number, since it is smaller than the sum of its proper divisors (25877587456).

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

10132786944 is a wasteful number, since it uses less digits than its factorization.

10132786944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10132786944 in words is "ten billion, one hundred thirty-two million, seven hundred eighty-six thousand, nine hundred forty-four".