648853911720000 has 5600 divisors, whose sum is σ = 3195436069140480. Its totient is φ = 126456422400000.

The previous prime is 648853911719989. The next prime is 648853911720041. The reversal of 648853911720000 is 27119358846.

648853911720000 is a `hidden beast` number, since 6 + 4 + 8 + 85 + 391 + 172 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5600).

It is a super-2 number, since 2×648853911720000² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 799 ways as a sum of consecutive naturals, for example, 168489718075 + ... + 168489721925.

It is a 1-persistent number, because it is pandigital, but 2⋅648853911720000 = 1297707823440000 is not.

Almost surely, 2^{648853911720000} is an apocalyptic number.

648853911720000 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 648853911720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597718034570240).

648853911720000 is an abundant number, since it is smaller than the sum of its proper divisors (2546582157420480).

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

648853911720000 is a wasteful number, since it uses less digits than its factorization.

648853911720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3961 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 648853911720000 in words is "six hundred forty-eight trillion, eight hundred fifty-three billion, nine hundred eleven million, seven hundred twenty thousand".