1264928574000 has 1280 divisors, whose sum is σ = 5154846068736. Its totient is φ = 259780608000.

The previous prime is 1264928573989. The next prime is 1264928574031. The reversal of 1264928574000 is 4758294621.

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 (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5428877884 + ... + 5428878116.

Almost surely, 2^{1264928574000} is an apocalyptic number.

1264928574000 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 1264928574000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577423034368).

1264928574000 is an abundant number, since it is smaller than the sum of its proper divisors (3889917494736).

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

1264928574000 is a wasteful number, since it uses less digits than its factorization.

1264928574000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 1264928574000 in words is "one trillion, two hundred sixty-four billion, nine hundred twenty-eight million, five hundred seventy-four thousand".