16252424195040 has 288 divisors, whose sum is σ = 61102391811552. Its totient is φ = 3900971520000.

The previous prime is 16252424195027. The next prime is 16252424195047. The reversal of 16252424195040 is 4059142425261.

16252424195040 is a `hidden beast` number, since 1 + 6 + 2 + 524 + 24 + 19 + 50 + 40 = 666.

16252424195040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16252424195047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3479551 + ... + 6679230.

It is an arithmetic number, because the mean of its divisors is an integer number (212161082679).

Almost surely, 2^{16252424195040} is an apocalyptic number.

16252424195040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16252424195040 is an abundant number, since it is smaller than the sum of its proper divisors (44849967616512).

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

16252424195040 is a wasteful number, since it uses less digits than its factorization.

16252424195040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10158914 (or 10158903 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 16252424195040 in words is "sixteen trillion, two hundred fifty-two billion, four hundred twenty-four million, one hundred ninety-five thousand, forty".