10514803680 has 432 divisors, whose sum is σ = 38418241680. Its totient is φ = 2618155008.

The previous prime is 10514803639. The next prime is 10514803693. The reversal of 10514803680 is 8630841501.

10514803680 is a `hidden beast` number, since 1 + 0 + 514 + 80 + 3 + 68 + 0 = 666.

It is a super-2 number, since 2×10514803680² (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 71 ways as a sum of consecutive naturals, for example, 58741831 + ... + 58742009.

It is an arithmetic number, because the mean of its divisors is an integer number (88931115).

Almost surely, 2^10514803680 is an apocalyptic number.

10514803680 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 10514803680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19209120840).

10514803680 is an abundant number, since it is smaller than the sum of its proper divisors (27903438000).

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

10514803680 is a wasteful number, since it uses less digits than its factorization.

10514803680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10514803680 in words is "ten billion, five hundred fourteen million, eight hundred three thousand, six hundred eighty".