10854098511984 has 2560 divisors, whose sum is σ = 44157173760000. Its totient is φ = 2471319797760.

The previous prime is 10854098511983. The next prime is 10854098512027. The reversal of 10854098511984 is 48911589045801.

10854098511984 is a `hidden beast` number, since 1 + 0 + 8 + 540 + 9 + 8 + 5 + 1 + 1 + 9 + 84 = 666.

It is a super-2 number, since 2×10854098511984² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10854098511983) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 47397809982 + ... + 47397810210.

It is an arithmetic number, because the mean of its divisors is an integer number (17248896000).

Almost surely, 2^{10854098511984} is an apocalyptic number.

10854098511984 is a gapful number since it is divisible by the number (14) 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 10854098511984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22078586880000).

10854098511984 is an abundant number, since it is smaller than the sum of its proper divisors (33303075248016).

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

10854098511984 is a wasteful number, since it uses less digits than its factorization.

10854098511984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 63.

The spelling of 10854098511984 in words is "ten trillion, eight hundred fifty-four billion, ninety-eight million, five hundred eleven thousand, nine hundred eighty-four".