258336540000 has 2400 divisors, whose sum is σ = 1257392505600. Its totient is φ = 50388480000.

The previous prime is 258336539983. The next prime is 258336540031. The reversal of 258336540000 is 45633852.

It is a happy number.

258336540000 is a `hidden beast` number, since 2 + 5 + 83 + 36 + 540 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 2370059946 + ... + 2370060054.

It is an arithmetic number, because the mean of its divisors is an integer number (523913544).

Almost surely, 2^258336540000 is an apocalyptic number.

258336540000 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 258336540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628696252800).

258336540000 is an abundant number, since it is smaller than the sum of its proper divisors (999055965600).

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

258336540000 is a wasteful number, since it uses less digits than its factorization.

258336540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 258336540000 in words is "two hundred fifty-eight billion, three hundred thirty-six million, five hundred forty thousand".