53768756340000 has 1920 divisors, whose sum is σ = 224375126976000. Its totient is φ = 12448843776000.

The previous prime is 53768756339993. The next prime is 53768756340001. The reversal of 53768756340000 is 4365786735.

53768756340000 is a `hidden beast` number, since 5 + 3 + 76 + 8 + 7 + 563 + 4 + 0 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (53768756340001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 34489259221 + ... + 34489260779.

It is an arithmetic number, because the mean of its divisors is an integer number (116862045300).

Almost surely, 2^{53768756340000} is an apocalyptic number.

53768756340000 is a gapful number since it is divisible by the number (50) 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 53768756340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112187563488000).

53768756340000 is an abundant number, since it is smaller than the sum of its proper divisors (170606370636000).

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

53768756340000 is a wasteful number, since it uses less digits than its factorization.

53768756340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 53768756340000 in words is "fifty-three trillion, seven hundred sixty-eight billion, seven hundred fifty-six million, three hundred forty thousand".