213377054400 has 252 divisors, whose sum is σ = 776891958024. Its totient is φ = 55512576000.

The previous prime is 213377054389. The next prime is 213377054413. The reversal of 213377054400 is 4450773312.

213377054400 is a `hidden beast` number, since 2 + 13 + 37 + 70 + 544 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 409695 + ... + 771105.

Almost surely, 2^213377054400 is an apocalyptic number.

213377054400 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 213377054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388445979012).

213377054400 is an abundant number, since it is smaller than the sum of its proper divisors (563514903624).

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

213377054400 is a wasteful number, since it uses less digits than its factorization.

213377054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361480 (or 361462 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 213377054400 in words is "two hundred thirteen billion, three hundred seventy-seven million, fifty-four thousand, four hundred".