21354670512 has 240 divisors, whose sum is σ = 70014447360. Its totient is φ = 5949964800.

The previous prime is 21354670511. The next prime is 21354670517. The reversal of 21354670512 is 21507645312.

21354670512 is a `hidden beast` number, since 2 + 1 + 35 + 46 + 70 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21354670511) 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, 7789462 + ... + 7792202.

It is an arithmetic number, because the mean of its divisors is an integer number (291726864).

Almost surely, 2^21354670512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21354670512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35007223680).

21354670512 is an abundant number, since it is smaller than the sum of its proper divisors (48659776848).

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

21354670512 is a wasteful number, since it uses less digits than its factorization.

21354670512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 21354670512 in words is "twenty-one billion, three hundred fifty-four million, six hundred seventy thousand, five hundred twelve".