21190540800 has 960 divisors, whose sum is σ = 87460902144. Its totient is φ = 4443340800.

The previous prime is 21190540793. The next prime is 21190540807. The reversal of 21190540800 is 804509112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21190540793) and next prime (21190540807).

It is a tau number, because it is divible by the number of its divisors (960).

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 (21190540807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93350287 + ... + 93350513.

Almost surely, 2^21190540800 is an apocalyptic number.

21190540800 is a gapful number since it is divisible by the number (20) 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 21190540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43730451072).

21190540800 is an abundant number, since it is smaller than the sum of its proper divisors (66270361344).

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

21190540800 is a wasteful number, since it uses less digits than its factorization.

21190540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 21190540800 in words is "twenty-one billion, one hundred ninety million, five hundred forty thousand, eight hundred".