10580743152 has 240 divisors, whose sum is σ = 36874187520. Its totient is φ = 2845006848.

The previous prime is 10580743141. The next prime is 10580743181. The reversal of 10580743152 is 25134708501.

10580743152 is a `hidden beast` number, since 1 + 0 + 580 + 74 + 3 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×10580743152² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 867883 + ... + 879989.

It is an arithmetic number, because the mean of its divisors is an integer number (153642448).

Almost surely, 2^10580743152 is an apocalyptic number.

10580743152 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 10580743152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18437093760).

10580743152 is an abundant number, since it is smaller than the sum of its proper divisors (26293444368).

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

10580743152 is a wasteful number, since it uses less digits than its factorization.

10580743152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12165 (or 12136 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 10580743152 in words is "ten billion, five hundred eighty million, seven hundred forty-three thousand, one hundred fifty-two".