211140551515040 has 384 divisors, whose sum is σ = 586656251596800. Its totient is φ = 70317653852160.

The previous prime is 211140551515001. The next prime is 211140551515093. The reversal of 211140551515040 is 40515155041112.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5040696977 + ... + 5040738863.

It is an arithmetic number, because the mean of its divisors is an integer number (1527750655200).

Almost surely, 2^{211140551515040} is an apocalyptic number.

211140551515040 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 211140551515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293328125798400).

211140551515040 is an abundant number, since it is smaller than the sum of its proper divisors (375515700081760).

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

211140551515040 is a wasteful number, since it uses less digits than its factorization.

211140551515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42888 (or 42880 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 35.

The spelling of 211140551515040 in words is "two hundred eleven trillion, one hundred forty billion, five hundred fifty-one million, five hundred fifteen thousand, forty".