48572462400 has 672 divisors, whose sum is σ = 200610874368. Its totient is φ = 9995059200.

The previous prime is 48572462359. The next prime is 48572462401. The reversal of 48572462400 is 426427584.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48572462401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41764219 + ... + 41765381.

Almost surely, 2^48572462400 is an apocalyptic number.

48572462400 is a gapful number since it is divisible by the number (40) 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 48572462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100305437184).

48572462400 is an abundant number, since it is smaller than the sum of its proper divisors (152038411968).

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

48572462400 is a wasteful number, since it uses less digits than its factorization.

48572462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

Adding to 48572462400 its reverse (426427584), we get a palindrome (48998889984).

The spelling of 48572462400 in words is "forty-eight billion, five hundred seventy-two million, four hundred sixty-two thousand, four hundred".