10115154720 has 576 divisors, whose sum is σ = 40042235520. Its totient is φ = 2381322240.

The previous prime is 10115154719. The next prime is 10115154727. The reversal of 10115154720 is 2745151101.

10115154720 is a `hidden beast` number, since 1 + 0 + 115 + 1 + 547 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10115154727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19340379 + ... + 19340901.

It is an arithmetic number, because the mean of its divisors is an integer number (69517770).

Almost surely, 2^10115154720 is an apocalyptic number.

10115154720 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 10115154720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20021117760).

10115154720 is an abundant number, since it is smaller than the sum of its proper divisors (29927080800).

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

10115154720 is a wasteful number, since it uses less digits than its factorization.

10115154720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The spelling of 10115154720 in words is "ten billion, one hundred fifteen million, one hundred fifty-four thousand, seven hundred twenty".