11771090100 has 648 divisors, whose sum is σ = 47971804608. Its totient is φ = 2435443200.

The previous prime is 11771090087. The next prime is 11771090101. The reversal of 11771090100 is 109017711.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11771090101) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 50519584 + ... + 50519816.

Almost surely, 2^11771090100 is an apocalyptic number.

11771090100 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 11771090100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23985902304).

11771090100 is an abundant number, since it is smaller than the sum of its proper divisors (36200714508).

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

11771090100 is a wasteful number, since it uses less digits than its factorization.

11771090100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 441, while the sum is 27.

The spelling of 11771090100 in words is "eleven billion, seven hundred seventy-one million, ninety thousand, one hundred".