47077861555200 has 792 divisors, whose sum is σ = 181117680969072. Its totient is φ = 10753541406720.

The previous prime is 47077861555189. The next prime is 47077861555211. The reversal of 47077861555200 is 255516877074.

It is an interprime number because it is at equal distance from previous prime (47077861555189) and next prime (47077861555211).

It is a super-2 number, since 2×47077861555200² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7500054462 + ... + 7500060738.

Almost surely, 2^{47077861555200} is an apocalyptic number.

47077861555200 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 47077861555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90558840484536).

47077861555200 is an abundant number, since it is smaller than the sum of its proper divisors (134039819413872).

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

47077861555200 is a wasteful number, since it uses less digits than its factorization.

47077861555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8317 (or 8287 counting only the distinct ones).

The product of its (nonzero) digits is 16464000, while the sum is 57.

The spelling of 47077861555200 in words is "forty-seven trillion, seventy-seven billion, eight hundred sixty-one million, five hundred fifty-five thousand, two hundred".