51614144400 has 960 divisors, whose sum is σ = 213817425920. Its totient is φ = 10351411200.

The previous prime is 51614144383. The next prime is 51614144419. The reversal of 51614144400 is 444141615.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 267430704 + ... + 267430896.

Almost surely, 2^51614144400 is an apocalyptic number.

51614144400 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 51614144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106908712960).

51614144400 is an abundant number, since it is smaller than the sum of its proper divisors (162203281520).

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

51614144400 is a wasteful number, since it uses less digits than its factorization.

51614144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 51614144400 in words is "fifty-one billion, six hundred fourteen million, one hundred forty-four thousand, four hundred".