88203714117120 has 640 divisors, whose sum is σ = 359629132262400. Its totient is φ = 20072785084416.

The previous prime is 88203714117107. The next prime is 88203714117139. The reversal of 88203714117120 is 2171141730288.

It is a happy number.

88203714117120 is a `hidden beast` number, since 8 + 8 + 203 + 7 + 1 + 411 + 7 + 1 + 20 = 666.

88203714117120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110401327 + ... + 111197393.

It is an arithmetic number, because the mean of its divisors is an integer number (561920519160).

Almost surely, 2^{88203714117120} is an apocalyptic number.

88203714117120 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 88203714117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179814566131200).

88203714117120 is an abundant number, since it is smaller than the sum of its proper divisors (271425418145280).

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

88203714117120 is a wasteful number, since it uses less digits than its factorization.

88203714117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796335 (or 796313 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 88203714117120 in words is "eighty-eight trillion, two hundred three billion, seven hundred fourteen million, one hundred seventeen thousand, one hundred twenty".