11980029600 has 1080 divisors, whose sum is σ = 55603503648. Its totient is φ = 2489356800.

The previous prime is 11980029569. The next prime is 11980029617. The reversal of 11980029600 is 692008911.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×11980029600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1089093595 + ... + 1089093605.

Almost surely, 2^11980029600 is an apocalyptic number.

11980029600 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 11980029600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27801751824).

11980029600 is an abundant number, since it is smaller than the sum of its proper divisors (43623474048).

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

11980029600 is an frugal number, since it uses more digits than its factorization.

11980029600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 11980029600 in words is "eleven billion, nine hundred eighty million, twenty-nine thousand, six hundred".