21353468111360 has 320 divisors, whose sum is σ = 63865778828544. Its totient is φ = 6652064563200.

The previous prime is 21353468111351. The next prime is 21353468111401. The reversal of 21353468111360 is 6311186435312.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×21353468111360² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381004940 + ... + 381060980.

Almost surely, 2^{21353468111360} is an apocalyptic number.

21353468111360 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 21353468111360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31932889414272).

21353468111360 is an abundant number, since it is smaller than the sum of its proper divisors (42512310717184).

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

21353468111360 is a wasteful number, since it uses less digits than its factorization.

21353468111360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58015 (or 57999 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 21353468111360 in words is "twenty-one trillion, three hundred fifty-three billion, four hundred sixty-eight million, one hundred eleven thousand, three hundred sixty".