21471948000 has 576 divisors, whose sum is σ = 79939379520. Its totient is φ = 5451264000.

The previous prime is 21471947999. The next prime is 21471948053. The reversal of 21471948000 is 84917412.

21471948000 is a `hidden beast` number, since 21 + 471 + 94 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×21471948000² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

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, 136763922 + ... + 136764078.

It is an arithmetic number, because the mean of its divisors is an integer number (138783645).

Almost surely, 2^21471948000 is an apocalyptic number.

21471948000 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 21471948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39969689760).

21471948000 is an abundant number, since it is smaller than the sum of its proper divisors (58467431520).

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

21471948000 is a wasteful number, since it uses less digits than its factorization.

21471948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 21471948000 in words is "twenty-one billion, four hundred seventy-one million, nine hundred forty-eight thousand".