1117164987540 has 1008 divisors, whose sum is σ = 4234187284992. Its totient is φ = 247342491648.

The previous prime is 1117164987539. The next prime is 1117164987569. The reversal of 1117164987540 is 457894617111.

1117164987540 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 1 + 6 + 4 + 98 + 7 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 11517164772 + ... + 11517164868.

It is an arithmetic number, because the mean of its divisors is an integer number (4200582624).

Almost surely, 2^{1117164987540} is an apocalyptic number.

1117164987540 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 1117164987540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117093642496).

1117164987540 is an abundant number, since it is smaller than the sum of its proper divisors (3117022297452).

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

1117164987540 is an frugal number, since it uses more digits than its factorization.

1117164987540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 1117164987540 in words is "one trillion, one hundred seventeen billion, one hundred sixty-four million, nine hundred eighty-seven thousand, five hundred forty".