96940402560 has 1024 divisors, whose sum is σ = 374477414400. Its totient is φ = 23648993280.

The previous prime is 96940402541. The next prime is 96940402561. The reversal of 96940402560 is 6520404969.

96940402560 is a `hidden beast` number, since 9 + 6 + 9 + 40 + 40 + 2 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96940402561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1327950684 + ... + 1327950756.

It is an arithmetic number, because the mean of its divisors is an integer number (365700600).

Almost surely, 2^96940402560 is an apocalyptic number.

96940402560 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 96940402560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187238707200).

96940402560 is an abundant number, since it is smaller than the sum of its proper divisors (277537011840).

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

96940402560 is a wasteful number, since it uses less digits than its factorization.

96940402560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

It can be divided in two parts, 96940 and 402560, that added together give a triangular number (499500 = T₉₉₉).

The spelling of 96940402560 in words is "ninety-six billion, nine hundred forty million, four hundred two thousand, five hundred sixty".