96238419840 has 768 divisors, whose sum is σ = 369906264000. Its totient is φ = 23824171008.

The previous prime is 96238419833. The next prime is 96238419877. The reversal of 96238419840 is 4891483269.

96238419840 is a `hidden beast` number, since 9 + 623 + 8 + 4 + 1 + 9 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 235301556 + ... + 235301964.

Almost surely, 2^96238419840 is an apocalyptic number.

96238419840 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 96238419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184953132000).

96238419840 is an abundant number, since it is smaller than the sum of its proper divisors (273667844160).

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

96238419840 is a wasteful number, since it uses less digits than its factorization.

96238419840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 96238419840 in words is "ninety-six billion, two hundred thirty-eight million, four hundred nineteen thousand, eight hundred forty".