88249029120 has 640 divisors, whose sum is σ = 379357862400. Its totient is φ = 18982895616.

The previous prime is 88249029073. The next prime is 88249029133. The reversal of 88249029120 is 2192094288.

It is a happy number.

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

It is a super-2 number, since 2×88249029120² (a number of 23 digits) contains 22 as substring.

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

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, 8219916 + ... + 8230644.

It is an arithmetic number, because the mean of its divisors is an integer number (592746660).

Almost surely, 2^88249029120 is an apocalyptic number.

88249029120 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 88249029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189678931200).

88249029120 is an abundant number, since it is smaller than the sum of its proper divisors (291108833280).

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

88249029120 is a wasteful number, since it uses less digits than its factorization.

88249029120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10785 (or 10763 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 88249029120 in words is "eighty-eight billion, two hundred forty-nine million, twenty-nine thousand, one hundred twenty".