47560192243200 has 4800 divisors, whose sum is σ = 233728605411840. Its totient is φ = 9270405365760.

The previous prime is 47560192243171. The next prime is 47560192243271. The reversal of 47560192243200 is 234229106574.

47560192243200 is a `hidden beast` number, since 4 + 7 + 5 + 601 + 9 + 2 + 2 + 4 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 77082969292 + ... + 77082969908.

Almost surely, 2^{47560192243200} is an apocalyptic number.

47560192243200 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 47560192243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116864302705920).

47560192243200 is an abundant number, since it is smaller than the sum of its proper divisors (186168413168640).

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

47560192243200 is a wasteful number, since it uses less digits than its factorization.

47560192243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 47560192243200 in words is "forty-seven trillion, five hundred sixty billion, one hundred ninety-two million, two hundred forty-three thousand, two hundred".