10756419800320 has 36 divisors (see below), whose sum is σ = 25764986806020. Its totient is φ = 4302567919616.

The previous prime is 10756419800251. The next prime is 10756419800353. The reversal of 10756419800320 is 2300891465701.

It can be written as a sum of positive squares in 2 ways, for example, as 1304090913024 + 9452328887296 = 1141968^2 + 3074464^2 .

It is a super-2 number, since 2×10756419800320² (a number of 27 digits) contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 4201725205 + ... + 4201727764.

It is an arithmetic number, because the mean of its divisors is an integer number (715694077945).

It is a 1-persistent number, because it is pandigital, but 2⋅10756419800320 = 21512839600640 is not.

Almost surely, 2^{10756419800320} is an apocalyptic number.

10756419800320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10756419800320 is an abundant number, since it is smaller than the sum of its proper divisors (15008567005700).

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

10756419800320 is an frugal number, since it uses more digits than its factorization.

10756419800320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8403452990 (or 8403452976 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 10756419800320 in words is "ten trillion, seven hundred fifty-six billion, four hundred nineteen million, eight hundred thousand, three hundred twenty".