1952093011968 has 1792 divisors, whose sum is σ = 7426572998400. Its totient is φ = 504511856640.

The previous prime is 1952093011963. The next prime is 1952093011993. The reversal of 1952093011968 is 8691103902591.

1952093011968 is a `hidden beast` number, since 19 + 520 + 9 + 3 + 0 + 11 + 96 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1952093011961) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 84873609205 + ... + 84873609227.

Almost surely, 2^{1952093011968} is an apocalyptic number.

1952093011968 is a gapful number since it is divisible by the number (18) 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 1952093011968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3713286499200).

1952093011968 is an abundant number, since it is smaller than the sum of its proper divisors (5474479986432).

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

1952093011968 is an equidigital number, since it uses as much as digits as its factorization.

1952093011968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 1952093011968 in words is "one trillion, nine hundred fifty-two billion, ninety-three million, eleven thousand, nine hundred sixty-eight".