48809642400 has 216 divisors, whose sum is σ = 172286097984. Its totient is φ = 13002969600.

The previous prime is 48809642381. The next prime is 48809642419. The reversal of 48809642400 is 424690884.

48809642400 is a `hidden beast` number, since 48 + 80 + 96 + 42 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (48809642381) and next prime (48809642419).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8860447 + ... + 8865953.

It is an arithmetic number, because the mean of its divisors is an integer number (797620824).

Almost surely, 2^48809642400 is an apocalyptic number.

48809642400 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 48809642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86143048992).

48809642400 is an abundant number, since it is smaller than the sum of its proper divisors (123476455584).

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

48809642400 is a wasteful number, since it uses less digits than its factorization.

48809642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6764 (or 6748 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 48809642400 in words is "forty-eight billion, eight hundred nine million, six hundred forty-two thousand, four hundred".