48725913600 has 1404 divisors, whose sum is σ = 221270822136. Its totient is φ = 10156769280.

The previous prime is 48725913589. The next prime is 48725913631. The reversal of 48725913600 is 631952784.

48725913600 is a `hidden beast` number, since 4 + 8 + 7 + 25 + 9 + 13 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 587059159 + ... + 587059241.

It is a 1-persistent number, because it is pandigital, but 2⋅48725913600 = 97451827200 is not.

Almost surely, 2^48725913600 is an apocalyptic number.

48725913600 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 48725913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110635411068).

48725913600 is an abundant number, since it is smaller than the sum of its proper divisors (172544908536).

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

48725913600 is a wasteful number, since it uses less digits than its factorization.

48725913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 48725913600 in words is "forty-eight billion, seven hundred twenty-five million, nine hundred thirteen thousand, six hundred".