88150280325120 has 576 divisors, whose sum is σ = 348367881803760. Its totient is φ = 20422141673472.

The previous prime is 88150280325061. The next prime is 88150280325131. The reversal of 88150280325120 is 2152308205188.

88150280325120 is a `hidden beast` number, since 8 + 8 + 1 + 50 + 2 + 80 + 3 + 2 + 512 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 64242405098496 + 23907875226624 = 8015136^2 + 4889568^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18203352 + ... + 22531368.

Almost surely, 2^{88150280325120} is an apocalyptic number.

88150280325120 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 88150280325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174183940901880).

88150280325120 is an abundant number, since it is smaller than the sum of its proper divisors (260217601478640).

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

88150280325120 is a wasteful number, since it uses less digits than its factorization.

88150280325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328080 (or 4328057 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 88150280325120 in words is "eighty-eight trillion, one hundred fifty billion, two hundred eighty million, three hundred twenty-five thousand, one hundred twenty".