11398177120 has 192 divisors, whose sum is σ = 30286835712. Its totient is φ = 4017664000.

The previous prime is 11398177103. The next prime is 11398177151. The reversal of 11398177120 is 2177189311.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13782147 + ... + 13782973.

It is an arithmetic number, because the mean of its divisors is an integer number (157743936).

Almost surely, 2^11398177120 is an apocalyptic number.

11398177120 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 11398177120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15143417856).

11398177120 is an abundant number, since it is smaller than the sum of its proper divisors (18888658592).

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

11398177120 is a wasteful number, since it uses less digits than its factorization.

11398177120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 40.

The spelling of 11398177120 in words is "eleven billion, three hundred ninety-eight million, one hundred seventy-seven thousand, one hundred twenty".