16525585440 has 768 divisors, whose sum is σ = 71964426240. Its totient is φ = 3448811520.

The previous prime is 16525585423. The next prime is 16525585469. The reversal of 16525585440 is 4458552561.

16525585440 is a `hidden beast` number, since 1 + 6 + 5 + 2 + 558 + 54 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49926075 + ... + 49926405.

It is an arithmetic number, because the mean of its divisors is an integer number (93703680).

Almost surely, 2^16525585440 is an apocalyptic number.

16525585440 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 16525585440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35982213120).

16525585440 is an abundant number, since it is smaller than the sum of its proper divisors (55438840800).

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

16525585440 is a wasteful number, since it uses less digits than its factorization.

16525585440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 16525585440 in words is "sixteen billion, five hundred twenty-five million, five hundred eighty-five thousand, four hundred forty".