11421078900 has 576 divisors, whose sum is σ = 43677204480. Its totient is φ = 2234880000.

The previous prime is 11421078887. The next prime is 11421078919. The reversal of 11421078900 is 987012411.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29359906 + ... + 29360294.

It is an arithmetic number, because the mean of its divisors is an integer number (75828480).

Almost surely, 2^11421078900 is an apocalyptic number.

11421078900 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 11421078900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21838602240).

11421078900 is an abundant number, since it is smaller than the sum of its proper divisors (32256125580).

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

11421078900 is a wasteful number, since it uses less digits than its factorization.

11421078900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The spelling of 11421078900 in words is "eleven billion, four hundred twenty-one million, seventy-eight thousand, nine hundred".