10382553720 has 768 divisors, whose sum is σ = 44252282880. Its totient is φ = 2048716800.

The previous prime is 10382553719. The next prime is 10382553737. The reversal of 10382553720 is 2735528301.

It is a happy number.

10382553720 is a `hidden beast` number, since 1 + 0 + 3 + 82 + 553 + 7 + 20 = 666.

10382553720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54358825 + ... + 54359015.

It is an arithmetic number, because the mean of its divisors is an integer number (57620160).

Almost surely, 2^10382553720 is an apocalyptic number.

10382553720 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 10382553720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22126141440).

10382553720 is an abundant number, since it is smaller than the sum of its proper divisors (33869729160).

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

10382553720 is a wasteful number, since it uses less digits than its factorization.

10382553720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 10382553720 in words is "ten billion, three hundred eighty-two million, five hundred fifty-three thousand, seven hundred twenty".