1965457700976 has 160 divisors (see below), whose sum is σ = 6332451840000. Its totient is φ = 510335389440.

The previous prime is 1965457700917. The next prime is 1965457700981. The reversal of 1965457700976 is 6790077545691.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10995645 + ... + 11172963.

It is an arithmetic number, because the mean of its divisors is an integer number (39577824000).

Almost surely, 2^{1965457700976} is an apocalyptic number.

1965457700976 is a gapful number since it is divisible by the number (16) 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 1965457700976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166225920000).

1965457700976 is an abundant number, since it is smaller than the sum of its proper divisors (4366994139024).

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

1965457700976 is a wasteful number, since it uses less digits than its factorization.

1965457700976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180347 (or 180341 counting only the distinct ones).

The product of its (nonzero) digits is 100018800, while the sum is 66.

The spelling of 1965457700976 in words is "one trillion, nine hundred sixty-five billion, four hundred fifty-seven million, seven hundred thousand, nine hundred seventy-six".