1011071893392 has 240 divisors, whose sum is σ = 3245633426880. Its totient is φ = 290970086400.

The previous prime is 1011071893379. The next prime is 1011071893451. The reversal of 1011071893392 is 2933981701101.

It is a happy number.

1011071893392 is a `hidden beast` number, since 1 + 0 + 110 + 71 + 89 + 3 + 392 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2621683 + ... + 2982509.

It is an arithmetic number, because the mean of its divisors is an integer number (13523472612).

Almost surely, 2^{1011071893392} is an apocalyptic number.

1011071893392 is a gapful number since it is divisible by the number (12) 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 1011071893392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622816713440).

1011071893392 is an abundant number, since it is smaller than the sum of its proper divisors (2234561533488).

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

1011071893392 is a wasteful number, since it uses less digits than its factorization.

1011071893392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360942 (or 360933 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 1011071893392 in words is "one trillion, eleven billion, seventy-one million, eight hundred ninety-three thousand, three hundred ninety-two".