1011664054040 has 64 divisors (see below), whose sum is σ = 2292868546560. Its totient is φ = 401718890880.

The previous prime is 1011664054039. The next prime is 1011664054061. The reversal of 1011664054040 is 404504661101.

1011664054040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1011664053988 and 1011664054006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3584729 + ... + 3856631.

It is an arithmetic number, because the mean of its divisors is an integer number (35826071040).

Almost surely, 2^{1011664054040} is an apocalyptic number.

1011664054040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011664054040 is an abundant number, since it is smaller than the sum of its proper divisors (1281204492520).

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

1011664054040 is a wasteful number, since it uses less digits than its factorization.

1011664054040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272592 (or 272588 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 1011664054040 in words is "one trillion, eleven billion, six hundred sixty-four million, fifty-four thousand, forty".