213204829157600 has 576 divisors, whose sum is σ = 625693053081600. Its totient is φ = 70874415360000.

The previous prime is 213204829157581. The next prime is 213204829157693. The reversal of 213204829157600 is 6751928402312.

It is a super-2 number, since 2×213204829157600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

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, 1379880350 + ... + 1380034850.

It is an arithmetic number, because the mean of its divisors is an integer number (1086272661600).

It is a 1-persistent number, because it is pandigital, but 2⋅213204829157600 = 426409658315200 is not.

Almost surely, 2^{213204829157600} is an apocalyptic number.

213204829157600 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 213204829157600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312846526540800).

213204829157600 is an abundant number, since it is smaller than the sum of its proper divisors (412488223924000).

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

213204829157600 is a wasteful number, since it uses less digits than its factorization.

213204829157600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154696 (or 154669 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 213204829157600 in words is "two hundred thirteen trillion, two hundred four billion, eight hundred twenty-nine million, one hundred fifty-seven thousand, six hundred".