96149306880 has 480 divisors, whose sum is σ = 376745136768. Its totient is φ = 23307264000.

The previous prime is 96149306879. The next prime is 96149306887. The reversal of 96149306880 is 8860394169.

96149306880 is a `hidden beast` number, since 96 + 1 + 493 + 0 + 68 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96149306887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6835855 + ... + 6849905.

Almost surely, 2^96149306880 is an apocalyptic number.

96149306880 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 96149306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188372568384).

96149306880 is an abundant number, since it is smaller than the sum of its proper divisors (280595829888).

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

96149306880 is a wasteful number, since it uses less digits than its factorization.

96149306880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14100 (or 14072 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 96149306880 in words is "ninety-six billion, one hundred forty-nine million, three hundred six thousand, eight hundred eighty".