21457483407360 has 5040 divisors, whose sum is σ = 107193818014272. Its totient is φ = 4057753190400.

The previous prime is 21457483407359. The next prime is 21457483407361. The reversal of 21457483407360 is 6370438475412.

21457483407360 is a `hidden beast` number, since 2 + 1 + 4 + 57 + 483 + 40 + 73 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21457483407359) and next prime (21457483407361).

It is a tau number, because it is divible by the number of its divisors (5040).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 21457483407297 and 21457483407306.

It is not an unprimeable number, because it can be changed into a prime (21457483407361) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 302218076125 + ... + 302218076195.

Almost surely, 2^{21457483407360} is an apocalyptic number.

21457483407360 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 21457483407360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53596909007136).

21457483407360 is an abundant number, since it is smaller than the sum of its proper divisors (85736334606912).

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

21457483407360 is a wasteful number, since it uses less digits than its factorization.

21457483407360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 21457483407360 in words is "twenty-one trillion, four hundred fifty-seven billion, four hundred eighty-three million, four hundred seven thousand, three hundred sixty".