10726346477952 has 160 divisors (see below), whose sum is σ = 36481638317520. Its totient is φ = 3064670401536.

The previous prime is 10726346477929. The next prime is 10726346478037. The reversal of 10726346477952 is 25977464362701.

10726346477952 is a `hidden beast` number, since 1 + 0 + 72 + 6 + 3 + 4 + 6 + 477 + 95 + 2 = 666.

It is a super-2 number, since 2×10726346477952² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 10726346477952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73824763 + ... + 73969914.

Almost surely, 2^{10726346477952} is an apocalyptic number.

10726346477952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10726346477952 is an abundant number, since it is smaller than the sum of its proper divisors (25755291839568).

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

10726346477952 is an equidigital number, since it uses as much as digits as its factorization.

10726346477952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147794710 (or 147794689 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 10726346477952 in words is "ten trillion, seven hundred twenty-six billion, three hundred forty-six million, four hundred seventy-seven thousand, nine hundred fifty-two".