1098169712640 has 2432 divisors, whose sum is σ = 5411648471040. Its totient is φ = 203843174400.

The previous prime is 1098169712639. The next prime is 1098169712641. The reversal of 1098169712640 is 462179618901.

It is an interprime number because it is at equal distance from previous prime (1098169712639) and next prime (1098169712641).

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

It is not an unprimeable number, because it can be changed into a prime (1098169712641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35424829425 + ... + 35424829455.

Almost surely, 2^{1098169712640} is an apocalyptic number.

1098169712640 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 1098169712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705824235520).

1098169712640 is an abundant number, since it is smaller than the sum of its proper divisors (4313478758400).

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

1098169712640 is an equidigital number, since it uses as much as digits as its factorization.

1098169712640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 1098169712640 in words is "one trillion, ninety-eight billion, one hundred sixty-nine million, seven hundred twelve thousand, six hundred forty".