21357954858240 has 2160 divisors, whose sum is σ = 104445320918400. Its totient is φ = 4096491356160.

The previous prime is 21357954858217. The next prime is 21357954858259. The reversal of 21357954858240 is 4285845975312.

It is a happy number.

21357954858240 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 7 + 9 + 5 + 4 + 8 + 582 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 726471061 + ... + 726500459.

It is an arithmetic number, because the mean of its divisors is an integer number (48354315240).

Almost surely, 2^{21357954858240} is an apocalyptic number.

21357954858240 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 21357954858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52222660459200).

21357954858240 is an abundant number, since it is smaller than the sum of its proper divisors (83087366060160).

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

21357954858240 is a wasteful number, since it uses less digits than its factorization.

21357954858240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29470 (or 29440 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 21357954858240 in words is "twenty-one trillion, three hundred fifty-seven billion, nine hundred fifty-four million, eight hundred fifty-eight thousand, two hundred forty".