88820420371488 has 672 divisors, whose sum is σ = 297540686499840. Its totient is φ = 25882098739200.

The previous prime is 88820420371471. The next prime is 88820420371567. The reversal of 88820420371488 is 88417302402888.

88820420371488 is a `hidden beast` number, since 8 + 8 + 82 + 0 + 4 + 2 + 0 + 3 + 71 + 488 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 704419233 + ... + 704545311.

It is an arithmetic number, because the mean of its divisors is an integer number (442768878720).

Almost surely, 2^{88820420371488} 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 88820420371488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148770343249920).

88820420371488 is an abundant number, since it is smaller than the sum of its proper divisors (208720266128352).

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

88820420371488 is a wasteful number, since it uses less digits than its factorization.

88820420371488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126244 (or 126221 counting only the distinct ones).

The product of its (nonzero) digits is 44040192, while the sum is 63.

The spelling of 88820420371488 in words is "eighty-eight trillion, eight hundred twenty billion, four hundred twenty million, three hundred seventy-one thousand, four hundred eighty-eight".