10149509889792 has 2160 divisors, whose sum is σ = 40021791606720. Its totient is φ = 2488160747520.

The previous prime is 10149509889781. The next prime is 10149509889793. The reversal of 10149509889792 is 29798890594101.

10149509889792 is a `hidden beast` number, since 1 + 0 + 1 + 49 + 509 + 8 + 8 + 9 + 79 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10149509889792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10149509889793) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 52588134048 + ... + 52588134240.

Almost surely, 2^{10149509889792} is an apocalyptic number.

10149509889792 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 10149509889792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20010895803360).

10149509889792 is an abundant number, since it is smaller than the sum of its proper divisors (29872281716928).

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

10149509889792 is a wasteful number, since it uses less digits than its factorization.

10149509889792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 72.

The spelling of 10149509889792 in words is "ten trillion, one hundred forty-nine billion, five hundred nine million, eight hundred eighty-nine thousand, seven hundred ninety-two".