1023726264960 has 128 divisors (see below), whose sum is σ = 3729288585600. Its totient is φ = 233994571776.

The previous prime is 1023726264937. The next prime is 1023726264991. The reversal of 1023726264960 is 694626273201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38071615 + ... + 38098494.

It is an arithmetic number, because the mean of its divisors is an integer number (29135067075).

Almost surely, 2^{1023726264960} is an apocalyptic number.

1023726264960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023726264960 is an abundant number, since it is smaller than the sum of its proper divisors (2705562320640).

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

1023726264960 is an equidigital number, since it uses as much as digits as its factorization.

1023726264960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76170138 (or 76170126 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 1023726264960 in words is "one trillion, twenty-three billion, seven hundred twenty-six million, two hundred sixty-four thousand, nine hundred sixty".