47769153788160 has 1440 divisors, whose sum is σ = 204080526397440. Its totient is φ = 10431527141376.

The previous prime is 47769153788143. The next prime is 47769153788171. The reversal of 47769153788160 is 6188735196774.

47769153788160 is a `hidden beast` number, since 4 + 7 + 7 + 6 + 9 + 1 + 537 + 8 + 81 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25422646101 + ... + 25422647979.

It is an arithmetic number, because the mean of its divisors is an integer number (141722587776).

Almost surely, 2^{47769153788160} is an apocalyptic number.

47769153788160 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 47769153788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102040263198720).

47769153788160 is an abundant number, since it is smaller than the sum of its proper divisors (156311372609280).

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

47769153788160 is a wasteful number, since it uses less digits than its factorization.

47769153788160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3465 (or 3442 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 47769153788160 in words is "forty-seven trillion, seven hundred sixty-nine billion, one hundred fifty-three million, seven hundred eighty-eight thousand, one hundred sixty".