11753364870 has 320 divisors, whose sum is σ = 35428288896. Its totient is φ = 2776965120.

The previous prime is 11753364839. The next prime is 11753364923. The reversal of 11753364870 is 7846335711.

11753364870 is a `hidden beast` number, since 1 + 1 + 7 + 533 + 6 + 48 + 70 = 666.

11753364870 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) 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 (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 159 ways as a sum of consecutive naturals, for example, 37792015 + ... + 37792325.

Almost surely, 2^11753364870 is an apocalyptic number.

11753364870 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 11753364870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17714144448).

11753364870 is an abundant number, since it is smaller than the sum of its proper divisors (23674924026).

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

11753364870 is a wasteful number, since it uses less digits than its factorization.

11753364870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 11753364870 in words is "eleven billion, seven hundred fifty-three million, three hundred sixty-four thousand, eight hundred seventy".