21467908932540 has 480 divisors, whose sum is σ = 71912371164480. Its totient is φ = 4782093926400.

The previous prime is 21467908932529. The next prime is 21467908932593. The reversal of 21467908932540 is 4523980976412.

It is a happy number.

It is a super-2 number, since 2×21467908932540² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8794717720 + ... + 8794720160.

It is an arithmetic number, because the mean of its divisors is an integer number (149817439926).

It is a 2-persistent number, because it is pandigital, and so is 2⋅21467908932540 = 42935817865080, but 3⋅21467908932540 = 64403726797620 is not.

Almost surely, 2^{21467908932540} is an apocalyptic number.

21467908932540 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 21467908932540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35956185582240).

21467908932540 is an abundant number, since it is smaller than the sum of its proper divisors (50444462231940).

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

21467908932540 is a wasteful number, since it uses less digits than its factorization.

21467908932540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4011 (or 3988 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 21467908932540 in words is "twenty-one trillion, four hundred sixty-seven billion, nine hundred eight million, nine hundred thirty-two thousand, five hundred forty".