210997526216400 has 5760 divisors, whose sum is σ = 1036536634552320. Its totient is φ = 40494156595200.

The previous prime is 210997526216353. The next prime is 210997526216429. The reversal of 210997526216400 is 4612625799012.

It is a happy number.

210997526216400 is a `hidden beast` number, since 2 + 1 + 0 + 9 + 9 + 7 + 5 + 2 + 621 + 6 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 802271962669 + ... + 802271962931.

It is an arithmetic number, because the mean of its divisors is an integer number (179954276832).

Almost surely, 2^{210997526216400} is an apocalyptic number.

210997526216400 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 210997526216400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518268317276160).

210997526216400 is an abundant number, since it is smaller than the sum of its proper divisors (825539108335920).

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

210997526216400 is a wasteful number, since it uses less digits than its factorization.

210997526216400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 210997526216400 in words is "two hundred ten trillion, nine hundred ninety-seven billion, five hundred twenty-six million, two hundred sixteen thousand, four hundred".