21542771082240 has 264 divisors, whose sum is σ = 78573835604160. Its totient is φ = 5442384052224.

The previous prime is 21542771082227. The next prime is 21542771082247. The reversal of 21542771082240 is 4228017724512.

21542771082240 is a `hidden beast` number, since 2 + 1 + 54 + 277 + 10 + 82 + 240 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21542771082247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11427324 + ... + 13178363.

Almost surely, 2^{21542771082240} is an apocalyptic number.

21542771082240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21542771082240 is an abundant number, since it is smaller than the sum of its proper divisors (57031064521920).

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

21542771082240 is a wasteful number, since it uses less digits than its factorization.

21542771082240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24605737 (or 24605716 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 21542771082240 in words is "twenty-one trillion, five hundred forty-two billion, seven hundred seventy-one million, eighty-two thousand, two hundred forty".