21388174080 has 576 divisors, whose sum is σ = 85073307648. Its totient is φ = 4459069440.

The previous prime is 21388174061. The next prime is 21388174081. The reversal of 21388174080 is 8047188312.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (21388174081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33895365 + ... + 33895995.

Almost surely, 2^21388174080 is an apocalyptic number.

21388174080 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 21388174080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42536653824).

21388174080 is an abundant number, since it is smaller than the sum of its proper divisors (63685133568).

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

21388174080 is a wasteful number, since it uses less digits than its factorization.

21388174080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 21388174080 in words is "twenty-one billion, three hundred eighty-eight million, one hundred seventy-four thousand, eighty".