21060265464 has 192 divisors, whose sum is σ = 68149382400. Its totient is φ = 6008603328.

The previous prime is 21060265463. The next prime is 21060265511. The reversal of 21060265464 is 46456206012.

21060265464 is a `hidden beast` number, since 2 + 1 + 0 + 602 + 6 + 5 + 46 + 4 = 666.

It is a super-2 number, since 2×21060265464² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (21060265463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12943419 + ... + 12945045.

It is an arithmetic number, because the mean of its divisors is an integer number (354944700).

Almost surely, 2^21060265464 is an apocalyptic number.

21060265464 is a gapful number since it is divisible by the number (24) 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 21060265464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34074691200).

21060265464 is an abundant number, since it is smaller than the sum of its proper divisors (47089116936).

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

21060265464 is a wasteful number, since it uses less digits than its factorization.

21060265464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2879 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 21060265464 in words is "twenty-one billion, sixty million, two hundred sixty-five thousand, four hundred sixty-four".