11541621300 has 432 divisors, whose sum is σ = 39648087360. Its totient is φ = 2580582400.

The previous prime is 11541621281. The next prime is 11541621341. The reversal of 11541621300 is 312614511.

It is a happy number.

It is a super-2 number, since 2×11541621300² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36408742 + ... + 36409058.

It is an arithmetic number, because the mean of its divisors is an integer number (91777980).

Almost surely, 2^11541621300 is an apocalyptic number.

11541621300 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 11541621300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19824043680).

11541621300 is an abundant number, since it is smaller than the sum of its proper divisors (28106466060).

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

11541621300 is a wasteful number, since it uses less digits than its factorization.

11541621300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 11541621300 in words is "eleven billion, five hundred forty-one million, six hundred twenty-one thousand, three hundred".