47773504451400 has 1152 divisors, whose sum is σ = 196798571585280. Its totient is φ = 9469577134080.

The previous prime is 47773504451399. The next prime is 47773504451443. The reversal of 47773504451400 is 415440537774.

It is a super-2 number, since 2×47773504451400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3748993429 + ... + 3749006171.

It is an arithmetic number, because the mean of its divisors is an integer number (170832093390).

Almost surely, 2^{47773504451400} is an apocalyptic number.

47773504451400 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 47773504451400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98399285792640).

47773504451400 is an abundant number, since it is smaller than the sum of its proper divisors (149025067133880).

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

47773504451400 is a wasteful number, since it uses less digits than its factorization.

47773504451400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13383 (or 13367 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 51.

The spelling of 47773504451400 in words is "forty-seven trillion, seven hundred seventy-three billion, five hundred four million, four hundred fifty-one thousand, four hundred".