48000820838400 has 1320 divisors, whose sum is σ = 181242207970560. Its totient is φ = 12556739543040.

The previous prime is 48000820838371. The next prime is 48000820838431. The reversal of 48000820838400 is 483802800084.

It is a happy number.

48000820838400 is a `hidden beast` number, since 4 + 8 + 0 + 0 + 0 + 8 + 208 + 38 + 400 = 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 59 ways as a sum of consecutive naturals, for example, 377959219137 + ... + 377959219263.

It is an arithmetic number, because the mean of its divisors is an integer number (137304703008).

Almost surely, 2^{48000820838400} is an apocalyptic number.

48000820838400 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 48000820838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90621103985280).

48000820838400 is an abundant number, since it is smaller than the sum of its proper divisors (133241387132160).

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

48000820838400 is an frugal number, since it uses more digits than its factorization.

48000820838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 48000820838400 in words is "forty-eight trillion, eight hundred twenty million, eight hundred thirty-eight thousand, four hundred".