10504290720 has 432 divisors, whose sum is σ = 42319446624. Its totient is φ = 2182118400.

The previous prime is 10504290691. The next prime is 10504290749. The reversal of 10504290720 is 2709240501.

It is an interprime number because it is at equal distance from previous prime (10504290691) and next prime (10504290749).

It is a super-2 number, since 2×10504290720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2844075 + ... + 2847765.

It is an arithmetic number, because the mean of its divisors is an integer number (97961682).

Almost surely, 2^10504290720 is an apocalyptic number.

10504290720 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 10504290720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21159723312).

10504290720 is an abundant number, since it is smaller than the sum of its proper divisors (31815155904).

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

10504290720 is a wasteful number, since it uses less digits than its factorization.

10504290720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3745 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 10504290720 in words is "ten billion, five hundred four million, two hundred ninety thousand, seven hundred twenty".