214057678000 has 80 divisors (see below), whose sum is σ = 517876871616. Its totient is φ = 85575859200.

The previous prime is 214057677991. The next prime is 214057678031. The reversal of 214057678000 is 876750412.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3717429 + ... + 3774571.

Almost surely, 2^214057678000 is an apocalyptic number.

214057678000 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 214057678000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258938435808).

214057678000 is an abundant number, since it is smaller than the sum of its proper divisors (303819193616).

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

214057678000 is a wasteful number, since it uses less digits than its factorization.

214057678000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59039 (or 59023 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The spelling of 214057678000 in words is "two hundred fourteen billion, fifty-seven million, six hundred seventy-eight thousand".