88090986240 has 1440 divisors, whose sum is σ = 363483179136. Its totient is φ = 20242759680.

The previous prime is 88090986197. The next prime is 88090986253. The reversal of 88090986240 is 4268909088.

88090986240 is a `hidden beast` number, since 8 + 8 + 0 + 9 + 0 + 9 + 8 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 159 ways as a sum of consecutive naturals, for example, 1662094054 + ... + 1662094106.

Almost surely, 2^88090986240 is an apocalyptic number.

88090986240 is a gapful number since it is divisible by the number (80) 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 88090986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181741589568).

88090986240 is an abundant number, since it is smaller than the sum of its proper divisors (275392192896).

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

88090986240 is a wasteful number, since it uses less digits than its factorization.

88090986240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 88090986240 in words is "eighty-eight billion, ninety million, nine hundred eighty-six thousand, two hundred forty".