1011905472960 has 560 divisors, whose sum is σ = 3728206310400. Its totient is φ = 260358174720.

The previous prime is 1011905472943. The next prime is 1011905472973. The reversal of 1011905472960 is 692745091101.

1011905472960 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 90 + 5 + 472 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 86489191 + ... + 86500889.

Almost surely, 2^{1011905472960} is an apocalyptic number.

1011905472960 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 1011905472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864103155200).

1011905472960 is an abundant number, since it is smaller than the sum of its proper divisors (2716300837440).

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

1011905472960 is a wasteful number, since it uses less digits than its factorization.

1011905472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11846 (or 11827 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 1011905472960 in words is "one trillion, eleven billion, nine hundred five million, four hundred seventy-two thousand, nine hundred sixty".