10601812480 has 240 divisors, whose sum is σ = 29780593920. Its totient is φ = 3609059328.

The previous prime is 10601812477. The next prime is 10601812519. The reversal of 10601812480 is 8421810601.

It is a super-2 number, since 2×10601812480² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27972931 + ... + 27973309.

It is an arithmetic number, because the mean of its divisors is an integer number (124085808).

Almost surely, 2^10601812480 is an apocalyptic number.

10601812480 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 10601812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14890296960).

10601812480 is an abundant number, since it is smaller than the sum of its proper divisors (19178781440).

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

10601812480 is an equidigital number, since it uses as much as digits as its factorization.

10601812480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The spelling of 10601812480 in words is "ten billion, six hundred one million, eight hundred twelve thousand, four hundred eighty".