51074150400 has 1872 divisors, whose sum is σ = 243154749600. Its totient is φ = 10404495360.

The previous prime is 51074150381. The next prime is 51074150411. The reversal of 51074150400 is 405147015.

It is a happy number.

51074150400 is a `hidden beast` number, since 5 + 107 + 4 + 150 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1761177586 + ... + 1761177614.

Almost surely, 2^51074150400 is an apocalyptic number.

51074150400 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 51074150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121577374800).

51074150400 is an abundant number, since it is smaller than the sum of its proper divisors (192080599200).

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

51074150400 is a wasteful number, since it uses less digits than its factorization.

51074150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

Adding to 51074150400 its reverse (405147015), we get a palindrome (51479297415).

The spelling of 51074150400 in words is "fifty-one billion, seventy-four million, one hundred fifty thousand, four hundred".