11674800000 has 768 divisors, whose sum is σ = 45897062400. Its totient is φ = 2914560000.

The previous prime is 11674799987. The next prime is 11674800029. The reversal of 11674800000 is 847611.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 248399977 + ... + 248400023.

It is an arithmetic number, because the mean of its divisors is an integer number (59761800).

Almost surely, 2^11674800000 is an apocalyptic number.

11674800000 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 11674800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22948531200).

11674800000 is an abundant number, since it is smaller than the sum of its proper divisors (34222262400).

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

11674800000 is an frugal number, since it uses more digits than its factorization.

11674800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 11674800000 in words is "eleven billion, six hundred seventy-four million, eight hundred thousand".