47597600793600 has 2376 divisors, whose sum is σ = 205135088883816. Its totient is φ = 10471735296000.

The previous prime is 47597600793551. The next prime is 47597600793709. The reversal of 47597600793600 is 639700679574.

47597600793600 is a `hidden beast` number, since 4 + 7 + 597 + 6 + 0 + 0 + 7 + 9 + 36 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 43867202125824 + 3730398667776 = 6623232^2 + 1931424^2 .

It is a super-2 number, since 2×47597600793600² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 22107570124 + ... + 22107572276.

Almost surely, 2^{47597600793600} is an apocalyptic number.

47597600793600 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 47597600793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102567544441908).

47597600793600 is an abundant number, since it is smaller than the sum of its proper divisors (157537488090216).

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

47597600793600 is a wasteful number, since it uses less digits than its factorization.

47597600793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 60011280, while the sum is 63.

The spelling of 47597600793600 in words is "forty-seven trillion, five hundred ninety-seven billion, six hundred million, seven hundred ninety-three thousand, six hundred".