2753851207968 has 192 divisors, whose sum is σ = 9578613381120. Its totient is φ = 752605261056.

The previous prime is 2753851207937. The next prime is 2753851207973. The reversal of 2753851207968 is 8697021583572.

2753851207968 is a `hidden beast` number, since 2 + 7 + 5 + 385 + 120 + 79 + 68 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9759430 + ... + 10037637.

It is an arithmetic number, because the mean of its divisors is an integer number (49888611360).

Almost surely, 2^{2753851207968} is an apocalyptic number.

2753851207968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2753851207968 is an abundant number, since it is smaller than the sum of its proper divisors (6824762173152).

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

2753851207968 is a wasteful number, since it uses less digits than its factorization.

2753851207968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19797116 (or 19797102 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 2753851207968 in words is "two trillion, seven hundred fifty-three billion, eight hundred fifty-one million, two hundred seven thousand, nine hundred sixty-eight".