130257871994880 has 1280 divisors, whose sum is σ = 540490737600000. Its totient is φ = 29394695356416.

The previous prime is 130257871994863. The next prime is 130257871994941. The reversal of 130257871994880 is 88499178752031.

130257871994880 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 5 + 78 + 71 + 9 + 9 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×130257871994880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 130257871994799 and 130257871994808.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7338876246 + ... + 7338893994.

It is an arithmetic number, because the mean of its divisors is an integer number (422258388750).

Almost surely, 2^{130257871994880} is an apocalyptic number.

130257871994880 is a gapful number since it is divisible by the number (10) 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 130257871994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270245368800000).

130257871994880 is an abundant number, since it is smaller than the sum of its proper divisors (410232865605120).

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

130257871994880 is an frugal number, since it uses more digits than its factorization.

130257871994880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17882 (or 17845 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 72.

The spelling of 130257871994880 in words is "one hundred thirty trillion, two hundred fifty-seven billion, eight hundred seventy-one million, nine hundred ninety-four thousand, eight hundred eighty".