965011400712 has 96 divisors (see below), whose sum is σ = 2677790868480. Its totient is φ = 313769445120.

The previous prime is 965011400657. The next prime is 965011400747. The reversal of 965011400712 is 217004110569.

965011400712 is a `hidden beast` number, since 9 + 6 + 501 + 140 + 0 + 7 + 1 + 2 = 666.

It is a super-3 number, since 3×965011400712³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18769713 + ... + 18821055.

It is an arithmetic number, because the mean of its divisors is an integer number (27893654880).

Almost surely, 2^965011400712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 965011400712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338895434240).

965011400712 is an abundant number, since it is smaller than the sum of its proper divisors (1712779467768).

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

965011400712 is a wasteful number, since it uses less digits than its factorization.

965011400712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57763 (or 57756 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 965011400712 in words is "nine hundred sixty-five billion, eleven million, four hundred thousand, seven hundred twelve".