10831465680 has 360 divisors, whose sum is σ = 41505388128. Its totient is φ = 2329399296.

The previous prime is 10831465661. The next prime is 10831465691. The reversal of 10831465680 is 8656413801.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 3397047 + ... + 3400233.

Almost surely, 2^10831465680 is an apocalyptic number.

10831465680 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 10831465680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20752694064).

10831465680 is an abundant number, since it is smaller than the sum of its proper divisors (30673922448).

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

10831465680 is a wasteful number, since it uses less digits than its factorization.

10831465680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3251 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 10831465680 in words is "ten billion, eight hundred thirty-one million, four hundred sixty-five thousand, six hundred eighty".