48655304294400 has 3264 divisors, whose sum is σ = 206423613043200. Its totient is φ = 11161546260480.

The previous prime is 48655304294339. The next prime is 48655304294407. The reversal of 48655304294400 is 449240355684.

48655304294400 is a `hidden beast` number, since 4 + 8 + 6 + 5 + 5 + 304 + 294 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3264).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (48655304294407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 501601075152 + ... + 501601075248.

Almost surely, 2^{48655304294400} is an apocalyptic number.

48655304294400 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 48655304294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103211806521600).

48655304294400 is an abundant number, since it is smaller than the sum of its proper divisors (157768308748800).

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

48655304294400 is a wasteful number, since it uses less digits than its factorization.

48655304294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 48655304294400 in words is "forty-eight trillion, six hundred fifty-five billion, three hundred four million, two hundred ninety-four thousand, four hundred".