10752420540 has 96 divisors (see below), whose sum is σ = 30461175360. Its totient is φ = 2833698816.

The previous prime is 10752420521. The next prime is 10752420541. The reversal of 10752420540 is 4502425701.

It is a super-2 number, since 2×10752420540² (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 a junction number, because it is equal to n+sod(n) for n = 10752420498 and 10752420507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10752420541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2829922 + ... + 2833718.

It is an arithmetic number, because the mean of its divisors is an integer number (317303910).

Almost surely, 2^10752420540 is an apocalyptic number.

10752420540 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 10752420540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15230587680).

10752420540 is an abundant number, since it is smaller than the sum of its proper divisors (19708754820).

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

10752420540 is a wasteful number, since it uses less digits than its factorization.

10752420540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4351 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The spelling of 10752420540 in words is "ten billion, seven hundred fifty-two million, four hundred twenty thousand, five hundred forty".