10159764480 has 264 divisors, whose sum is σ = 35581887432. Its totient is φ = 2680160256.

The previous prime is 10159764479. The next prime is 10159764491. The reversal of 10159764480 is 8446795101.

10159764480 is a `hidden beast` number, since 10 + 1 + 597 + 6 + 4 + 48 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2511212544 + 7648551936 = 50112^2 + 87456^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4468624 + ... + 4470896.

Almost surely, 2^10159764480 is an apocalyptic number.

10159764480 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 10159764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17790943716).

10159764480 is an abundant number, since it is smaller than the sum of its proper divisors (25422122952).

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

10159764480 is a wasteful number, since it uses less digits than its factorization.

10159764480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10159764480 in words is "ten billion, one hundred fifty-nine million, seven hundred sixty-four thousand, four hundred eighty".