47255106662400 has 624 divisors, whose sum is σ = 192292805083904. Its totient is φ = 9970302320640.

The previous prime is 47255106662383. The next prime is 47255106662431. The reversal of 47255106662400 is 426660155274.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 47255106662400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27110007 + ... + 28800393.

Almost surely, 2^{47255106662400} is an apocalyptic number.

47255106662400 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 47255106662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96146402541952).

47255106662400 is an abundant number, since it is smaller than the sum of its proper divisors (145037698421504).

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

47255106662400 is a wasteful number, since it uses less digits than its factorization.

47255106662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690444 (or 1690417 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 47255106662400 in words is "forty-seven trillion, two hundred fifty-five billion, one hundred six million, six hundred sixty-two thousand, four hundred".