1007854016064 has 56 divisors (see below), whose sum is σ = 3047558576448. Its totient is φ = 287958289920.

The previous prime is 1007854015999. The next prime is 1007854016119. The reversal of 1007854016064 is 4606104587001.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 7 ways as a sum of consecutive naturals, for example, 374944347 + ... + 374947034.

Almost surely, 2^{1007854016064} is an apocalyptic number.

1007854016064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1007854016064 is an abundant number, since it is smaller than the sum of its proper divisors (2039704560384).

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

1007854016064 is an equidigital number, since it uses as much as digits as its factorization.

1007854016064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749891403 (or 749891393 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 1007854016064 in words is "one trillion, seven billion, eight hundred fifty-four million, sixteen thousand, sixty-four".