48951705600 has 810 divisors, whose sum is σ = 204731885904. Its totient is φ = 11147673600.

The previous prime is 48951705589. The next prime is 48951705641. The reversal of 48951705600 is 650715984.

48951705600 is a `hidden beast` number, since 4 + 89 + 5 + 1 + 7 + 0 + 560 + 0 = 666.

It is a super-2 number, since 2×48951705600² (a number of 22 digits) contains 22 as substring.

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 53 ways as a sum of consecutive naturals, for example, 180633465 + ... + 180633735.

Almost surely, 2^48951705600 is an apocalyptic number.

48951705600 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 48951705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102365942952).

48951705600 is an abundant number, since it is smaller than the sum of its proper divisors (155780180304).

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

48951705600 is a wasteful number, since it uses less digits than its factorization.

48951705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 48951705600 in words is "forty-eight billion, nine hundred fifty-one million, seven hundred five thousand, six hundred".