6985113408000 has 4800 divisors, whose sum is σ = 34602549366528. Its totient is φ = 1366386278400.

The previous prime is 6985113407963. The next prime is 6985113408047. The reversal of 6985113408000 is 8043115896.

6985113408000 is a `hidden beast` number, since 6 + 98 + 511 + 3 + 40 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 104255423967 + ... + 104255424033.

Almost surely, 2^{6985113408000} is an apocalyptic number.

6985113408000 is a gapful number since it is divisible by the number (60) 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 6985113408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17301274683264).

6985113408000 is an abundant number, since it is smaller than the sum of its proper divisors (27617435958528).

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

6985113408000 is a wasteful number, since it uses less digits than its factorization.

6985113408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 6985113408000 in words is "six trillion, nine hundred eighty-five billion, one hundred thirteen million, four hundred eight thousand".