88142208000 has 1056 divisors, whose sum is σ = 369668941824. Its totient is φ = 18247680000.

The previous prime is 88142207987. The next prime is 88142208041. The reversal of 88142208000 is 80224188.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×88142208000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 325247865 + ... + 325248135.

Almost surely, 2^88142208000 is an apocalyptic number.

88142208000 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 88142208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184834470912).

88142208000 is an abundant number, since it is smaller than the sum of its proper divisors (281526733824).

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

88142208000 is a wasteful number, since it uses less digits than its factorization.

88142208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The spelling of 88142208000 in words is "eighty-eight billion, one hundred forty-two million, two hundred eight thousand".