14025070080 has 960 divisors, whose sum is σ = 59953037760. Its totient is φ = 3096576000.

The previous prime is 14025070043. The next prime is 14025070133. The reversal of 14025070080 is 8007052041.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×14025070080² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138862030 + ... + 138862130.

It is an arithmetic number, because the mean of its divisors is an integer number (62451081).

Almost surely, 2^14025070080 is an apocalyptic number.

14025070080 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 14025070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29976518880).

14025070080 is an abundant number, since it is smaller than the sum of its proper divisors (45927967680).

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

14025070080 is a wasteful number, since it uses less digits than its factorization.

14025070080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 14025070080 in words is "fourteen billion, twenty-five million, seventy thousand, eighty".