11374587900 has 432 divisors, whose sum is σ = 41038373376. Its totient is φ = 2613219840.

The previous prime is 11374587883. The next prime is 11374587907. The reversal of 11374587900 is 978547311.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11374587907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11570809 + ... + 11571791.

Almost surely, 2^11374587900 is an apocalyptic number.

11374587900 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 11374587900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20519186688).

11374587900 is an abundant number, since it is smaller than the sum of its proper divisors (29663785476).

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

11374587900 is a wasteful number, since it uses less digits than its factorization.

11374587900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 11374587900 in words is "eleven billion, three hundred seventy-four million, five hundred eighty-seven thousand, nine hundred".