1088378736480 has 576 divisors, whose sum is σ = 4330689487488. Its totient is φ = 243775733760.

The previous prime is 1088378736479. The next prime is 1088378736521. The reversal of 1088378736480 is 846378738801.

1088378736480 is a `hidden beast` number, since 1 + 0 + 8 + 83 + 7 + 8 + 73 + 6 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 115522170 + ... + 115531590.

It is an arithmetic number, because the mean of its divisors is an integer number (7518558138).

Almost surely, 2^{1088378736480} is an apocalyptic number.

1088378736480 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 1088378736480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165344743744).

1088378736480 is an abundant number, since it is smaller than the sum of its proper divisors (3242310751008).

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

1088378736480 is a wasteful number, since it uses less digits than its factorization.

1088378736480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9679 (or 9668 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 1088378736480 in words is "one trillion, eighty-eight billion, three hundred seventy-eight million, seven hundred thirty-six thousand, four hundred eighty".