51549156400 has 180 divisors, whose sum is σ = 144289191240. Its totient is φ = 17646720000.

The previous prime is 51549156353. The next prime is 51549156467. The reversal of 51549156400 is 465194515.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15854775 + ... + 15858025.

It is an arithmetic number, because the mean of its divisors is an integer number (801606618).

Almost surely, 2^51549156400 is an apocalyptic number.

51549156400 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 51549156400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72144595620).

51549156400 is an abundant number, since it is smaller than the sum of its proper divisors (92740034840).

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

51549156400 is a wasteful number, since it uses less digits than its factorization.

51549156400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4092 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 40.

The spelling of 51549156400 in words is "fifty-one billion, five hundred forty-nine million, one hundred fifty-six thousand, four hundred".