88419504096 has 288 divisors, whose sum is σ = 325100176128. Its totient is φ = 22965949440.

The previous prime is 88419504067. The next prime is 88419504113. The reversal of 88419504096 is 69040591488.

88419504096 is a `hidden beast` number, since 8 + 8 + 41 + 9 + 504 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 524916 + ... + 672588.

It is an arithmetic number, because the mean of its divisors is an integer number (1128820056).

Almost surely, 2^88419504096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88419504096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162550088064).

88419504096 is an abundant number, since it is smaller than the sum of its proper divisors (236680672032).

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

88419504096 is a wasteful number, since it uses less digits than its factorization.

88419504096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147716 (or 147696 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 88419504096 in words is "eighty-eight billion, four hundred nineteen million, five hundred four thousand, ninety-six".