10601772480 has 560 divisors, whose sum is σ = 41265189504. Its totient is φ = 2567946240.

The previous prime is 10601772473. The next prime is 10601772499. The reversal of 10601772480 is 8427710601.

10601772480 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 177 + 2 + 480 = 666.

It is a super-2 number, since 2×10601772480² (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 79 ways as a sum of consecutive naturals, for example, 24597865 + ... + 24598295.

Almost surely, 2^10601772480 is an apocalyptic number.

10601772480 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 10601772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20632594752).

10601772480 is an abundant number, since it is smaller than the sum of its proper divisors (30663417024).

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

10601772480 is a wasteful number, since it uses less digits than its factorization.

10601772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 10601772480 in words is "ten billion, six hundred one million, seven hundred seventy-two thousand, four hundred eighty".