130216911840 has 288 divisors, whose sum is σ = 455826885696. Its totient is φ = 33831198720.

The previous prime is 130216911823. The next prime is 130216911883. The reversal of 130216911840 is 48119612031.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×130216911840⁴ (a number of 46 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 130216911795 and 130216911804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73031589 + ... + 73033371.

It is an arithmetic number, because the mean of its divisors is an integer number (1582732242).

Almost surely, 2^130216911840 is an apocalyptic number.

130216911840 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 130216911840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227913442848).

130216911840 is an abundant number, since it is smaller than the sum of its proper divisors (325609973856).

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

130216911840 is a wasteful number, since it uses less digits than its factorization.

130216911840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 130216911840 in words is "one hundred thirty billion, two hundred sixteen million, nine hundred eleven thousand, eight hundred forty".