213079408697088 has 288 divisors, whose sum is σ = 641141081011200. Its totient is φ = 69785954611200.

The previous prime is 213079408697087. The next prime is 213079408697107. The reversal of 213079408697088 is 880796804970312.

213079408697088 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 79 + 408 + 6 + 9 + 70 + 88 = 666.

213079408697088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×213079408697088² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213079408697087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 387204853 + ... + 387754763.

Almost surely, 2^{213079408697088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213079408697088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320570540505600).

213079408697088 is an abundant number, since it is smaller than the sum of its proper divisors (428061672314112).

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

213079408697088 is an equidigital number, since it uses as much as digits as its factorization.

213079408697088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550916 (or 550896 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 213079408697088 in words is "two hundred thirteen trillion, seventy-nine billion, four hundred eight million, six hundred ninety-seven thousand, eighty-eight".