961928711100 has 720 divisors, whose sum is σ = 3788065881600. Its totient is φ = 206251246080.

The previous prime is 961928711083. The next prime is 961928711131. The reversal of 961928711100 is 1117829169.

It is a happy number.

961928711100 is a `hidden beast` number, since 9 + 619 + 2 + 8 + 7 + 11 + 10 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 110957566 + ... + 110966234.

Almost surely, 2^961928711100 is an apocalyptic number.

961928711100 is a gapful number since it is divisible by the number (90) 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 961928711100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894032940800).

961928711100 is an abundant number, since it is smaller than the sum of its proper divisors (2826137170500).

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

961928711100 is a wasteful number, since it uses less digits than its factorization.

961928711100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8824 (or 8808 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 45.

The spelling of 961928711100 in words is "nine hundred sixty-one billion, nine hundred twenty-eight million, seven hundred eleven thousand, one hundred".