1101852387090 has 960 divisors, whose sum is σ = 3867124377600. Its totient is φ = 224682232320.

The previous prime is 1101852387047. The next prime is 1101852387133. The reversal of 1101852387090 is 907832581011.

1101852387090 is a `hidden beast` number, since 1 + 1 + 0 + 185 + 2 + 387 + 0 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (1101852387047) and next prime (1101852387133).

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1455550992 + ... + 1455551748.

It is an arithmetic number, because the mean of its divisors is an integer number (4028254560).

Almost surely, 2^{1101852387090} is an apocalyptic number.

1101852387090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101852387090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933562188800).

1101852387090 is an abundant number, since it is smaller than the sum of its proper divisors (2765271990510).

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

1101852387090 is a wasteful number, since it uses less digits than its factorization.

1101852387090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 1101852387090 in words is "one trillion, one hundred one billion, eight hundred fifty-two million, three hundred eighty-seven thousand, ninety".