10762117520 has 240 divisors, whose sum is σ = 31889458944. Its totient is φ = 3305702400.

The previous prime is 10762117501. The next prime is 10762117547. The reversal of 10762117520 is 2571126701.

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 47 ways as a sum of consecutive naturals, for example, 4809842 + ... + 4812078.

Almost surely, 2^10762117520 is an apocalyptic number.

10762117520 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 10762117520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15944729472).

10762117520 is an abundant number, since it is smaller than the sum of its proper divisors (21127341424).

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

10762117520 is a wasteful number, since it uses less digits than its factorization.

10762117520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 32.

The spelling of 10762117520 in words is "ten billion, seven hundred sixty-two million, one hundred seventeen thousand, five hundred twenty".