48745495820700 has 720 divisors, whose sum is σ = 192428276927040. Its totient is φ = 10419601121280.

The previous prime is 48745495820689. The next prime is 48745495820713. The reversal of 48745495820700 is 702859454784.

It is a happy number.

48745495820700 is a `hidden beast` number, since 4 + 8 + 7 + 4 + 5 + 49 + 582 + 0 + 7 + 0 + 0 = 666.

It is a super-2 number, since 2×48745495820700² (a number of 28 digits) contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 151171246 + ... + 151493354.

It is an arithmetic number, because the mean of its divisors is an integer number (267261495732).

Almost surely, 2^{48745495820700} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48745495820700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96214138463520).

48745495820700 is an abundant number, since it is smaller than the sum of its proper divisors (143682781106340).

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

48745495820700 is a wasteful number, since it uses less digits than its factorization.

48745495820700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322316 (or 322300 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 48745495820700 in words is "forty-eight trillion, seven hundred forty-five billion, four hundred ninety-five million, eight hundred twenty thousand, seven hundred".