11374550400 has 192 divisors, whose sum is σ = 39669313680. Its totient is φ = 2854748160.

The previous prime is 11374550381. The next prime is 11374550401. The reversal of 11374550400 is 405547311.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×11374550400³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11374550401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128352 + ... + 198048.

Almost surely, 2^11374550400 is an apocalyptic number.

11374550400 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 11374550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19834656840).

11374550400 is an abundant number, since it is smaller than the sum of its proper divisors (28294763280).

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

11374550400 is a wasteful number, since it uses less digits than its factorization.

11374550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69741 (or 69724 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The spelling of 11374550400 in words is "eleven billion, three hundred seventy-four million, five hundred fifty thousand, four hundred".