258152401054080 has 1920 divisors, whose sum is σ = 1029490240458240. Its totient is φ = 61581839155200.

The previous prime is 258152401054063. The next prime is 258152401054103. The reversal of 258152401054080 is 80450104251852.

258152401054080 is a `hidden beast` number, since 2 + 5 + 8 + 1 + 5 + 24 + 0 + 1 + 0 + 540 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 49350485065 + ... + 49350490295.

It is an arithmetic number, because the mean of its divisors is an integer number (536192833572).

Almost surely, 2^{258152401054080} is an apocalyptic number.

258152401054080 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 258152401054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514745120229120).

258152401054080 is an abundant number, since it is smaller than the sum of its proper divisors (771337839404160).

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

258152401054080 is a wasteful number, since it uses less digits than its factorization.

258152401054080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5462 (or 5428 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The spelling of 258152401054080 in words is "two hundred fifty-eight trillion, one hundred fifty-two billion, four hundred one million, fifty-four thousand, eighty".