258161414112000 has 11520 divisors, whose sum is σ = 1333412720640000. Its totient is φ = 49161240576000.

The previous prime is 258161414111977. The next prime is 258161414112023. The reversal of 258161414112000 is 211414161852.

258161414112000 is a `hidden beast` number, since 2 + 5 + 8 + 1 + 614 + 1 + 4 + 11 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (258161414111977) and next prime (258161414112023).

It is a tau number, because it is divible by the number of its divisors (11520).

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 1279 ways as a sum of consecutive naturals, for example, 8327787551985 + ... + 8327787552015.

It is an arithmetic number, because the mean of its divisors is an integer number (115747632000).

Almost surely, 2^{258161414112000} is an apocalyptic number.

258161414112000 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 258161414112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666706360320000).

258161414112000 is an abundant number, since it is smaller than the sum of its proper divisors (1075251306528000).

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

258161414112000 is a wasteful number, since it uses less digits than its factorization.

258161414112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Adding to 258161414112000 its reverse (211414161852), we get a palindrome (258372828273852).

The spelling of 258161414112000 in words is "two hundred fifty-eight trillion, one hundred sixty-one billion, four hundred fourteen million, one hundred twelve thousand".