96962425560 has 1152 divisors, whose sum is σ = 434383447680. Its totient is φ = 18247680000.

The previous prime is 96962425541. The next prime is 96962425561. The reversal of 96962425560 is 6552426969.

96962425560 is a `hidden beast` number, since 9 + 6 + 9 + 624 + 2 + 5 + 5 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 96962425497 and 96962425506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96962425561) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 241801360 + ... + 241801760.

It is an arithmetic number, because the mean of its divisors is an integer number (377068965).

Almost surely, 2^96962425560 is an apocalyptic number.

96962425560 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 96962425560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217191723840).

96962425560 is an abundant number, since it is smaller than the sum of its proper divisors (337421022120).

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

96962425560 is a wasteful number, since it uses less digits than its factorization.

96962425560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 96962425560 in words is "ninety-six billion, nine hundred sixty-two million, four hundred twenty-five thousand, five hundred sixty".