21157165470240 has 192 divisors, whose sum is σ = 74367894182400. Its totient is φ = 5617696315392.

The previous prime is 21157165470229. The next prime is 21157165470283. The reversal of 21157165470240 is 4207456175112.

21157165470240 is a `hidden beast` number, since 2 + 1 + 1 + 57 + 16 + 547 + 0 + 2 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9503080 + ... + 11516199.

It is an arithmetic number, because the mean of its divisors is an integer number (387332782200).

Almost surely, 2^{21157165470240} is an apocalyptic number.

21157165470240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21157165470240 is an abundant number, since it is smaller than the sum of its proper divisors (53210728712160).

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

21157165470240 is a wasteful number, since it uses less digits than its factorization.

21157165470240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21019536 (or 21019522 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 21157165470240 in words is "twenty-one trillion, one hundred fifty-seven billion, one hundred sixty-five million, four hundred seventy thousand, two hundred forty".