213740093952 has 1280 divisors, whose sum is σ = 832363868160. Its totient is φ = 53210234880.

The previous prime is 213740093899. The next prime is 213740093969. The reversal of 213740093952 is 259390047312.

213740093952 is a `hidden beast` number, since 213 + 7 + 40 + 0 + 9 + 395 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 213740093898 and 213740093907.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3190150623 + ... + 3190150689.

It is an arithmetic number, because the mean of its divisors is an integer number (650284272).

Almost surely, 2^213740093952 is an apocalyptic number.

213740093952 is a gapful number since it is divisible by the number (22) 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 213740093952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416181934080).

213740093952 is an abundant number, since it is smaller than the sum of its proper divisors (618623774208).

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

213740093952 is an frugal number, since it uses more digits than its factorization.

213740093952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 213740093952 in words is "two hundred thirteen billion, seven hundred forty million, ninety-three thousand, nine hundred fifty-two".