51094014000 has 640 divisors, whose sum is σ = 178096029696. Its totient is φ = 12579840000.

The previous prime is 51094013981. The next prime is 51094014011. The reversal of 51094014000 is 41049015.

It is a super-2 number, since 2×51094014000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 699917964 + ... + 699918036.

Almost surely, 2^51094014000 is an apocalyptic number.

51094014000 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 51094014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89048014848).

51094014000 is an abundant number, since it is smaller than the sum of its proper divisors (127002015696).

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

51094014000 is a wasteful number, since it uses less digits than its factorization.

51094014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 51094014000 in words is "fifty-one billion, ninety-four million, fourteen thousand".