211053887815680 has 5712 divisors, whose sum is σ = 1015179015402720. Its totient is φ = 41608468758528.

The previous prime is 211053887815663. The next prime is 211053887815739. The reversal of 211053887815680 is 86518788350112.

211053887815680 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 538 + 8 + 7 + 8 + 15 + 6 + 80 = 666.

It is a super-2 number, since 2×211053887815680² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2891149148124 + ... + 2891149148196.

Almost surely, 2^{211053887815680} is an apocalyptic number.

211053887815680 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 211053887815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507589507701360).

211053887815680 is an abundant number, since it is smaller than the sum of its proper divisors (804125127587040).

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

211053887815680 is an frugal number, since it uses more digits than its factorization.

211053887815680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 63.

The spelling of 211053887815680 in words is "two hundred eleven trillion, fifty-three billion, eight hundred eighty-seven million, eight hundred fifteen thousand, six hundred eighty".