21292605240480 has 288 divisors, whose sum is σ = 83152954370304. Its totient is φ = 4860329177088.

The previous prime is 21292605240409. The next prime is 21292605240493. The reversal of 21292605240480 is 8404250629212.

21292605240480 is a `hidden beast` number, since 2 + 1 + 2 + 92 + 60 + 5 + 24 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×21292605240480⁴ (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6067932 + ... + 8910948.

It is an arithmetic number, because the mean of its divisors is an integer number (288725536008).

Almost surely, 2^{21292605240480} is an apocalyptic number.

21292605240480 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 21292605240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41576477185152).

21292605240480 is an abundant number, since it is smaller than the sum of its proper divisors (61860349129824).

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

21292605240480 is a wasteful number, since it uses less digits than its factorization.

21292605240480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2843788 (or 2843777 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

Adding to 21292605240480 its reverse (8404250629212), we get a palindrome (29696855869692).

The spelling of 21292605240480 in words is "twenty-one trillion, two hundred ninety-two billion, six hundred five million, two hundred forty thousand, four hundred eighty".