51353559400 has 192 divisors, whose sum is σ = 140572252800. Its totient is φ = 17200512000.

The previous prime is 51353559391. The next prime is 51353559407. The reversal of 51353559400 is 495535315.

51353559400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (51353559407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15470941 + ... + 15474259.

It is an arithmetic number, because the mean of its divisors is an integer number (732147150).

Almost surely, 2^51353559400 is an apocalyptic number.

51353559400 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 51353559400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70286126400).

51353559400 is an abundant number, since it is smaller than the sum of its proper divisors (89218693400).

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

51353559400 is a wasteful number, since it uses less digits than its factorization.

51353559400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3900 (or 3891 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 40.

The spelling of 51353559400 in words is "fifty-one billion, three hundred fifty-three million, five hundred fifty-nine thousand, four hundred".