213755087701440 has 2688 divisors, whose sum is σ = 873961398835200. Its totient is φ = 47550242488320.

The previous prime is 213755087701439. The next prime is 213755087701451. The reversal of 213755087701440 is 44107780557312.

213755087701440 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 5 + 50 + 87 + 70 + 1 + 440 = 666.

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, 395111067570 + ... + 395111068110.

Almost surely, 2^{213755087701440} is an apocalyptic number.

213755087701440 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 213755087701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436980699417600).

213755087701440 is an abundant number, since it is smaller than the sum of its proper divisors (660206311133760).

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

213755087701440 is a wasteful number, since it uses less digits than its factorization.

213755087701440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 213755087701440 in words is "two hundred thirteen trillion, seven hundred fifty-five billion, eighty-seven million, seven hundred one thousand, four hundred forty".