11378505600 has 864 divisors, whose sum is σ = 51593784840. Its totient is φ = 2361139200.

The previous prime is 11378505521. The next prime is 11378505601. The reversal of 11378505600 is 650587311.

11378505600 is a `hidden beast` number, since 1 + 13 + 7 + 85 + 0 + 560 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11378505601) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 15522834 + ... + 15523566.

Almost surely, 2^11378505600 is an apocalyptic number.

11378505600 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 11378505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25796892420).

11378505600 is an abundant number, since it is smaller than the sum of its proper divisors (40215279240).

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

11378505600 is a wasteful number, since it uses less digits than its factorization.

11378505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 11378505600 in words is "eleven billion, three hundred seventy-eight million, five hundred five thousand, six hundred".