212619782190816 has 2304 divisors, whose sum is σ = 859785228288000. Its totient is φ = 50650587187200.

The previous prime is 212619782190773. The next prime is 212619782190877. The reversal of 212619782190816 is 618091287916212.

212619782190816 is a `hidden beast` number, since 2 + 1 + 2 + 619 + 7 + 8 + 2 + 1 + 9 + 0 + 8 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 92003366301 + ... + 92003368611.

It is an arithmetic number, because the mean of its divisors is an integer number (373170672000).

Almost surely, 2^{212619782190816} is an apocalyptic number.

212619782190816 is a gapful number since it is divisible by the number (26) 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 212619782190816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429892614144000).

212619782190816 is an abundant number, since it is smaller than the sum of its proper divisors (647165446097184).

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

212619782190816 is a wasteful number, since it uses less digits than its factorization.

212619782190816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The spelling of 212619782190816 in words is "two hundred twelve trillion, six hundred nineteen billion, seven hundred eighty-two million, one hundred ninety thousand, eight hundred sixteen".