11672060400 has 1440 divisors, whose sum is σ = 56416389120. Its totient is φ = 2156544000.

The previous prime is 11672060399. The next prime is 11672060437. The reversal of 11672060400 is 406027611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 147747561 + ... + 147747639.

It is an arithmetic number, because the mean of its divisors is an integer number (39178048).

Almost surely, 2^11672060400 is an apocalyptic number.

11672060400 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 11672060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28208194560).

11672060400 is an abundant number, since it is smaller than the sum of its proper divisors (44744328720).

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

11672060400 is a wasteful number, since it uses less digits than its factorization.

11672060400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 11672060400 in words is "eleven billion, six hundred seventy-two million, sixty thousand, four hundred".