10556537840 has 80 divisors (see below), whose sum is σ = 25168255200. Its totient is φ = 4115629056.

The previous prime is 10556537837. The next prime is 10556537843. The reversal of 10556537840 is 4873565501.

It is an interprime number because it is at equal distance from previous prime (10556537837) and next prime (10556537843).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10556537840² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10556537791 and 10556537800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10556537843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1747946 + ... + 1753974.

It is an arithmetic number, because the mean of its divisors is an integer number (314603190).

Almost surely, 2^10556537840 is an apocalyptic number.

10556537840 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 10556537840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12584127600).

10556537840 is an abundant number, since it is smaller than the sum of its proper divisors (14611717360).

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

10556537840 is a wasteful number, since it uses less digits than its factorization.

10556537840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6594 (or 6588 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 44.

The spelling of 10556537840 in words is "ten billion, five hundred fifty-six million, five hundred thirty-seven thousand, eight hundred forty".