49542396825600 has 1872 divisors, whose sum is σ = 216481295167488. Its totient is φ = 10570967285760.

The previous prime is 49542396825547. The next prime is 49542396825659. The reversal of 49542396825600 is 652869324594.

It is a happy number.

49542396825600 is a `hidden beast` number, since 4 + 9 + 5 + 4 + 2 + 3 + 9 + 68 + 2 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13928139022 + ... + 13928142578.

It is an arithmetic number, because the mean of its divisors is an integer number (115641717504).

Almost surely, 2^{49542396825600} is an apocalyptic number.

49542396825600 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 49542396825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108240647583744).

49542396825600 is an abundant number, since it is smaller than the sum of its proper divisors (166938898341888).

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

49542396825600 is a wasteful number, since it uses less digits than its factorization.

49542396825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 49542396825600 in words is "forty-nine trillion, five hundred forty-two billion, three hundred ninety-six million, eight hundred twenty-five thousand, six hundred".