51940809373824 has 1024 divisors, whose sum is σ = 190740577075200. Its totient is φ = 13573805506560.

The previous prime is 51940809373811. The next prime is 51940809373883. The reversal of 51940809373824 is 42837390804915.

51940809373824 is a `hidden beast` number, since 5 + 1 + 94 + 0 + 80 + 93 + 7 + 382 + 4 = 666.

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 127 ways as a sum of consecutive naturals, for example, 18610105869 + ... + 18610108659.

It is an arithmetic number, because the mean of its divisors is an integer number (186270094800).

Almost surely, 2^{51940809373824} is an apocalyptic number.

51940809373824 is a gapful number since it is divisible by the number (54) 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 51940809373824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95370288537600).

51940809373824 is an abundant number, since it is smaller than the sum of its proper divisors (138799767701376).

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

51940809373824 is a wasteful number, since it uses less digits than its factorization.

51940809373824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4098 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 51940809373824 in words is "fifty-one trillion, nine hundred forty billion, eight hundred nine million, three hundred seventy-three thousand, eight hundred twenty-four".