21454191360 has 1080 divisors, whose sum is σ = 92366610336. Its totient is φ = 4737761280.

The previous prime is 21454191331. The next prime is 21454191361. The reversal of 21454191360 is 6319145412.

It is a happy number.

21454191360 is a `hidden beast` number, since 21 + 4 + 541 + 91 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×21454191360² (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 not an unprimeable number, because it can be changed into a prime (21454191361) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 208293069 + ... + 208293171.

Almost surely, 2^21454191360 is an apocalyptic number.

21454191360 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 21454191360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46183305168).

21454191360 is an abundant number, since it is smaller than the sum of its proper divisors (70912418976).

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

21454191360 is a wasteful number, since it uses less digits than its factorization.

21454191360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 21454191360 in words is "twenty-one billion, four hundred fifty-four million, one hundred ninety-one thousand, three hundred sixty".