53157895289800 has 192 divisors, whose sum is σ = 145935178122240. Its totient is φ = 17621836416000.

The previous prime is 53157895289767. The next prime is 53157895289839. The reversal of 53157895289800 is 898259875135.

53157895289800 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 (70).

It is a self number, because there is not a number n which added to its sum of digits gives 53157895289800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47929530 + ... + 49026070.

It is an arithmetic number, because the mean of its divisors is an integer number (760079052720).

Almost surely, 2^{53157895289800} is an apocalyptic number.

53157895289800 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 53157895289800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72967589061120).

53157895289800 is an abundant number, since it is smaller than the sum of its proper divisors (92777282832440).

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

53157895289800 is a wasteful number, since it uses less digits than its factorization.

53157895289800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097712 (or 1097703 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 70.

The spelling of 53157895289800 in words is "fifty-three trillion, one hundred fifty-seven billion, eight hundred ninety-five million, two hundred eighty-nine thousand, eight hundred".