21128998470048 has 576 divisors, whose sum is σ = 77082682779648. Its totient is φ = 5349848186880.

The previous prime is 21128998470029. The next prime is 21128998470071. The reversal of 21128998470048 is 84007489982112.

21128998470048 is a `hidden beast` number, since 2 + 11 + 28 + 9 + 98 + 470 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39041236 + ... + 39578732.

It is an arithmetic number, because the mean of its divisors is an integer number (133824102048).

Almost surely, 2^{21128998470048} is an apocalyptic number.

21128998470048 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 21128998470048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38541341389824).

21128998470048 is an abundant number, since it is smaller than the sum of its proper divisors (55953684309600).

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

21128998470048 is a wasteful number, since it uses less digits than its factorization.

21128998470048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537605 (or 537594 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 21128998470048 in words is "twenty-one trillion, one hundred twenty-eight billion, nine hundred ninety-eight million, four hundred seventy thousand, forty-eight".