21150920448 has 576 divisors, whose sum is σ = 74596515840. Its totient is φ = 5786726400.

The previous prime is 21150920437. The next prime is 21150920449. The reversal of 21150920448 is 84402905112.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×21150920448² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21150920449) 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, 161457343 + ... + 161457473.

It is an arithmetic number, because the mean of its divisors is an integer number (129507840).

Almost surely, 2^21150920448 is an apocalyptic number.

21150920448 is a gapful number since it is divisible by the number (28) 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 21150920448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37298257920).

21150920448 is an abundant number, since it is smaller than the sum of its proper divisors (53445595392).

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

21150920448 is a wasteful number, since it uses less digits than its factorization.

21150920448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 21150920448 in words is "twenty-one billion, one hundred fifty million, nine hundred twenty thousand, four hundred forty-eight".