88145756160 has 1024 divisors, whose sum is σ = 375065717760. Its totient is φ = 17112760320.

The previous prime is 88145756129. The next prime is 88145756197. The reversal of 88145756160 is 6165754188.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 643399612 + ... + 643399748.

It is an arithmetic number, because the mean of its divisors is an integer number (366275115).

Almost surely, 2^88145756160 is an apocalyptic number.

88145756160 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 88145756160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187532858880).

88145756160 is an abundant number, since it is smaller than the sum of its proper divisors (286919961600).

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

88145756160 is a wasteful number, since it uses less digits than its factorization.

88145756160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 51.

The spelling of 88145756160 in words is "eighty-eight billion, one hundred forty-five million, seven hundred fifty-six thousand, one hundred sixty".