213399778775040 has 1248 divisors, whose sum is σ = 870236730155520. Its totient is φ = 47686562611200.

The previous prime is 213399778775023. The next prime is 213399778775123. The reversal of 213399778775040 is 40577877993312.

213399778775040 is a `hidden beast` number, since 2 + 1 + 3 + 39 + 9 + 7 + 7 + 87 + 7 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 213399778775040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20058250041 + ... + 20058260679.

It is an arithmetic number, because the mean of its divisors is an integer number (697305072240).

Almost surely, 2^{213399778775040} is an apocalyptic number.

213399778775040 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 213399778775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435118365077760).

213399778775040 is an abundant number, since it is smaller than the sum of its proper divisors (656836951380480).

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

213399778775040 is a wasteful number, since it uses less digits than its factorization.

213399778775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11459 (or 11434 counting only the distinct ones).

The product of its (nonzero) digits is 560105280, while the sum is 72.

The spelling of 213399778775040 in words is "two hundred thirteen trillion, three hundred ninety-nine billion, seven hundred seventy-eight million, seven hundred seventy-five thousand, forty".