10815126740496 has 225 divisors, whose sum is σ = 33900013334781. Its totient is φ = 3327257741184.

The previous prime is 10815126740491. The next prime is 10815126740501. The reversal of 10815126740496 is 69404762151801.

The square root of 10815126740496 is 3288636.

It is a perfect power (a square), and thus also a powerful number.

10815126740496 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 51 + 2 + 67 + 40 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (10815126740491) and next prime (10815126740501).

It can be written as a sum of positive squares in only one way, i.e., 1599870819600 + 9215255920896 = 1264860^2 + 3035664^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10815126740491) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1539078135 + ... + 1539085161.

Almost surely, 2^{10815126740496} is an apocalyptic number.

10815126740496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10815126740496 is the 3288636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10815126740496

10815126740496 is an abundant number, since it is smaller than the sum of its proper divisors (23084886594285).

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

10815126740496 is an frugal number, since it uses more digits than its factorization.

10815126740496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14100 (or 7045 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 10815126740496 in words is "ten trillion, eight hundred fifteen billion, one hundred twenty-six million, seven hundred forty thousand, four hundred ninety-six".