48680870400 has 960 divisors, whose sum is σ = 189729999360. Its totient is φ = 12361973760.

The previous prime is 48680870339. The next prime is 48680870411. The reversal of 48680870400 is 407808684.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 1035763177 + ... + 1035763223.

It is an arithmetic number, because the mean of its divisors is an integer number (197635416).

Almost surely, 2^48680870400 is an apocalyptic number.

48680870400 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 48680870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94864999680).

48680870400 is an abundant number, since it is smaller than the sum of its proper divisors (141049128960).

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

48680870400 is an frugal number, since it uses more digits than its factorization.

48680870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 48680870400 in words is "forty-eight billion, six hundred eighty million, eight hundred seventy thousand, four hundred".