25900016034690 has 240 divisors, whose sum is σ = 80681940745848. Its totient is φ = 5760001787904.

The previous prime is 25900016034649. The next prime is 25900016034691. The reversal of 25900016034690 is 9643061000952.

25900016034690 is a `hidden beast` number, since 2 + 590 + 0 + 0 + 16 + 0 + 3 + 46 + 9 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25873916662881 + 26099371809 = 5086641^2 + 161553^2 .

It is a super-2 number, since 2×25900016034690² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (25900016034691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6375634 + ... + 9615026.

Almost surely, 2^{25900016034690} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25900016034690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40340970372924).

25900016034690 is an abundant number, since it is smaller than the sum of its proper divisors (54781924711158).

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

25900016034690 is a wasteful number, since it uses less digits than its factorization.

25900016034690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239471 (or 3239447 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 25900016034690 in words is "twenty-five trillion, nine hundred billion, sixteen million, thirty-four thousand, six hundred ninety".