51582146400 has 216 divisors, whose sum is σ = 186122696760. Its totient is φ = 13435269120.

The previous prime is 51582146347. The next prime is 51582146411. The reversal of 51582146400 is 464128515.

It is a happy number.

51582146400 is a `hidden beast` number, since 5 + 1 + 5 + 8 + 2 + 1 + 4 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 226296 + ... + 392904.

Almost surely, 2^51582146400 is an apocalyptic number.

51582146400 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 51582146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93061348380).

51582146400 is an abundant number, since it is smaller than the sum of its proper divisors (134540550360).

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

51582146400 is a wasteful number, since it uses less digits than its factorization.

51582146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166678 (or 166662 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 51582146400 in words is "fifty-one billion, five hundred eighty-two million, one hundred forty-six thousand, four hundred".