47860214713920 has 560 divisors, whose sum is σ = 194761810404480. Its totient is φ = 10928593944576.

The previous prime is 47860214713903. The next prime is 47860214714023. The reversal of 47860214713920 is 2931741206874.

47860214713920 is a `hidden beast` number, since 4 + 7 + 8 + 60 + 21 + 471 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-3 number, since 3×47860214713920³ (a number of 42 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 182942247 + ... + 183203673.

Almost surely, 2^{47860214713920} is an apocalyptic number.

47860214713920 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 47860214713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97380905202240).

47860214713920 is an abundant number, since it is smaller than the sum of its proper divisors (146901595690560).

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

47860214713920 is a wasteful number, since it uses less digits than its factorization.

47860214713920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262472 (or 262453 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 47860214713920 in words is "forty-seven trillion, eight hundred sixty billion, two hundred fourteen million, seven hundred thirteen thousand, nine hundred twenty".