258786347904 has 320 divisors, whose sum is σ = 901642341600. Its totient is φ = 72134737920.

The previous prime is 258786347879. The next prime is 258786347927. The reversal of 258786347904 is 409743687852.

258786347904 is a `hidden beast` number, since 2 + 5 + 87 + 86 + 3 + 479 + 0 + 4 = 666.

It is a super-2 number, since 2×258786347904² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2932132 + ... + 3019100.

Almost surely, 2^258786347904 is an apocalyptic number.

258786347904 is a gapful number since it is divisible by the number (24) 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 258786347904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450821170800).

258786347904 is an abundant number, since it is smaller than the sum of its proper divisors (642855993696).

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

258786347904 is an equidigital number, since it uses as much as digits as its factorization.

258786347904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87043 (or 87022 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 258786347904 in words is "two hundred fifty-eight billion, seven hundred eighty-six million, three hundred forty-seven thousand, nine hundred four".