1011605056500 has 96 divisors (see below), whose sum is σ = 2952630600192. Its totient is φ = 269135280000.

The previous prime is 1011605056493. The next prime is 1011605056519. The reversal of 1011605056500 is 56505061101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135871 + ... + 1428870.

It is an arithmetic number, because the mean of its divisors is an integer number (30756568752).

Almost surely, 2^{1011605056500} is an apocalyptic number.

1011605056500 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 1011605056500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476315300096).

1011605056500 is an abundant number, since it is smaller than the sum of its proper divisors (1941025543692).

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

1011605056500 is a wasteful number, since it uses less digits than its factorization.

1011605056500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565194 (or 1565182 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 1011605056500 in words is "one trillion, eleven billion, six hundred five million, fifty-six thousand, five hundred".