1098512487072 has 864 divisors, whose sum is σ = 4439620523520. Its totient is φ = 249501358080.

The previous prime is 1098512487041. The next prime is 1098512487077. The reversal of 1098512487072 is 2707842158901.

1098512487072 is a `hidden beast` number, since 1 + 0 + 9 + 85 + 12 + 487 + 0 + 72 = 666.

1098512487072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1098512487072² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1098512487077) 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, 71199423 + ... + 71214849.

It is an arithmetic number, because the mean of its divisors is an integer number (5138449680).

Almost surely, 2^{1098512487072} is an apocalyptic number.

1098512487072 is a gapful number since it is divisible by the number (12) 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 1098512487072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219810261760).

1098512487072 is an abundant number, since it is smaller than the sum of its proper divisors (3341108036448).

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

1098512487072 is a wasteful number, since it uses less digits than its factorization.

1098512487072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15506 (or 15482 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 1098512487072 in words is "one trillion, ninety-eight billion, five hundred twelve million, four hundred eighty-seven thousand, seventy-two".