51347186150400 has 3696 divisors, whose sum is σ = 232778226716160. Its totient is φ = 10964533248000.

The previous prime is 51347186150399. The next prime is 51347186150423. The reversal of 51347186150400 is 405168174315.

51347186150400 is a `hidden beast` number, since 5 + 13 + 4 + 7 + 1 + 86 + 150 + 400 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 340047590325 + ... + 340047590475.

Almost surely, 2^{51347186150400} is an apocalyptic number.

51347186150400 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 51347186150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116389113358080).

51347186150400 is an abundant number, since it is smaller than the sum of its proper divisors (181431040565760).

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

51347186150400 is a wasteful number, since it uses less digits than its factorization.

51347186150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 51347186150400 in words is "fifty-one trillion, three hundred forty-seven billion, one hundred eighty-six million, one hundred fifty thousand, four hundred".