1088152289280 has 1680 divisors, whose sum is σ = 4744682570880. Its totient is φ = 233910042624.

The previous prime is 1088152289243. The next prime is 1088152289353. The reversal of 1088152289280 is 829822518801.

It is a happy number.

1088152289280 is a `hidden beast` number, since 1 + 0 + 8 + 81 + 5 + 2 + 289 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7942717372 + ... + 7942717508.

It is an arithmetic number, because the mean of its divisors is an integer number (2824215816).

Almost surely, 2^{1088152289280} is an apocalyptic number.

1088152289280 is a gapful number since it is divisible by the number (10) 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 1088152289280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372341285440).

1088152289280 is an abundant number, since it is smaller than the sum of its proper divisors (3656530281600).

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

1088152289280 is an frugal number, since it uses more digits than its factorization.

1088152289280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The spelling of 1088152289280 in words is "one trillion, eighty-eight billion, one hundred fifty-two million, two hundred eighty-nine thousand, two hundred eighty".