966519884025 has 144 divisors (see below), whose sum is σ = 1896916589568. Its totient is φ = 468311040000.

The previous prime is 966519883981. The next prime is 966519884081. The reversal of 966519884025 is 520488915669.

966519884025 is a `hidden beast` number, since 96 + 6 + 51 + 98 + 8 + 402 + 5 = 666.

It is not a de Polignac number, because 966519884025 - 2⁷ = 966519883897 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47538412 + ... + 47558738.

It is an arithmetic number, because the mean of its divisors is an integer number (13173031872).

Almost surely, 2^966519884025 is an apocalyptic number.

It is an amenable number.

966519884025 is a deficient number, since it is larger than the sum of its proper divisors (930396705543).

966519884025 is a wasteful number, since it uses less digits than its factorization.

966519884025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20792 (or 20784 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 966519884025 in words is "nine hundred sixty-six billion, five hundred nineteen million, eight hundred eighty-four thousand, twenty-five".