11380622400 has 567 divisors, whose sum is σ = 47426822469. Its totient is φ = 2580802560.

The previous prime is 11380622371. The next prime is 11380622419. The reversal of 11380622400 is 422608311.

The square root of 11380622400 is 106680.

It is a perfect power (a square), and thus also a powerful number.

11380622400 is a `hidden beast` number, since 1 + 1 + 38 + 0 + 622 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4097024064 + 7283598336 = 64008^2 + 85344^2 .

It is a super-2 number, since 2×11380622400² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 89611137 + ... + 89611263.

Almost surely, 2^11380622400 is an apocalyptic number.

11380622400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11380622400 is the 106680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11380622400

11380622400 is an abundant number, since it is smaller than the sum of its proper divisors (36046200069).

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

11380622400 is a wasteful number, since it uses less digits than its factorization.

11380622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Multiplying 11380622400 by its product of nonzero digits (2304), we get a square (26220954009600 = 5120640²).

The spelling of 11380622400 in words is "eleven billion, three hundred eighty million, six hundred twenty-two thousand, four hundred".