47077518291552 has 1152 divisors, whose sum is σ = 177189059174400. Its totient is φ = 11875909312512.

The previous prime is 47077518291511. The next prime is 47077518291577. The reversal of 47077518291552 is 25519281577074.

47077518291552 is a `hidden beast` number, since 4 + 7 + 0 + 7 + 7 + 51 + 8 + 29 + 1 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 47077518291552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3420578623 + ... + 3420592385.

It is an arithmetic number, because the mean of its divisors is an integer number (153809947200).

Almost surely, 2^{47077518291552} is an apocalyptic number.

47077518291552 is a gapful number since it is divisible by the number (42) 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 47077518291552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88594529587200).

47077518291552 is an abundant number, since it is smaller than the sum of its proper divisors (130111540882848).

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

47077518291552 is a wasteful number, since it uses less digits than its factorization.

47077518291552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13945 (or 13914 counting only the distinct ones).

The product of its (nonzero) digits is 49392000, while the sum is 63.

The spelling of 47077518291552 in words is "forty-seven trillion, seventy-seven billion, five hundred eighteen million, two hundred ninety-one thousand, five hundred fifty-two".