10620271872 has 216 divisors, whose sum is σ = 35591599680. Its totient is φ = 2982666240.

The previous prime is 10620271829. The next prime is 10620271877. The reversal of 10620271872 is 27817202601.

10620271872 is a `hidden beast` number, since 1 + 0 + 620 + 27 + 1 + 8 + 7 + 2 = 666.

It is a super-2 number, since 2×10620271872² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10620271877) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 945972 + ... + 957132.

Almost surely, 2^10620271872 is an apocalyptic number.

10620271872 is a gapful number since it is divisible by the number (12) 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 10620271872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17795799840).

10620271872 is an abundant number, since it is smaller than the sum of its proper divisors (24971327808).

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

10620271872 is a wasteful number, since it uses less digits than its factorization.

10620271872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11249 (or 11232 counting only the distinct ones).

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

The spelling of 10620271872 in words is "ten billion, six hundred twenty million, two hundred seventy-one thousand, eight hundred seventy-two".