1089818376640 has 1008 divisors, whose sum is σ = 3351515463072. Its totient is φ = 336093069312.

The previous prime is 1089818376623. The next prime is 1089818376643. The reversal of 1089818376640 is 466738189801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1089818376643) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16265945887 + ... + 16265945953.

It is an arithmetic number, because the mean of its divisors is an integer number (3324916134).

Almost surely, 2^{1089818376640} is an apocalyptic number.

1089818376640 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 1089818376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675757731536).

1089818376640 is an abundant number, since it is smaller than the sum of its proper divisors (2261697086432).

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

1089818376640 is a wasteful number, since it uses less digits than its factorization.

1089818376640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 61.

The spelling of 1089818376640 in words is "one trillion, eighty-nine billion, eight hundred eighteen million, three hundred seventy-six thousand, six hundred forty".