96783001920 has 1134 divisors, whose sum is σ = 401640582798. Its totient is φ = 21370060800.

The previous prime is 96783001901. The next prime is 96783001957. The reversal of 96783001920 is 2910038769.

96783001920 is a `hidden beast` number, since 96 + 78 + 300 + 192 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 32417282304 + 64365719616 = 180048^2 + 253704^2 .

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 161 ways as a sum of consecutive naturals, for example, 3122032305 + ... + 3122032335.

Almost surely, 2^96783001920 is an apocalyptic number.

96783001920 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 96783001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200820291399).

96783001920 is an abundant number, since it is smaller than the sum of its proper divisors (304857580878).

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

96783001920 is a wasteful number, since it uses less digits than its factorization.

96783001920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

Multiplying 96783001920 by its sum of digits (45), we get a square (4355235086400 = 2086920²).

96783001920 divided by its sum of digits (45) gives a square (2150733376 = 46376²).

The spelling of 96783001920 in words is "ninety-six billion, seven hundred eighty-three million, one thousand, nine hundred twenty".