48721897224000 has 4480 divisors, whose sum is σ = 249916857974784. Its totient is φ = 9040066560000.

The previous prime is 48721897223999. The next prime is 48721897224017. The reversal of 48721897224000 is 42279812784.

48721897224000 is a `hidden beast` number, since 487 + 2 + 18 + 97 + 22 + 40 + 0 + 0 = 666.

48721897224000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 20108086789 + ... + 20108089211.

Almost surely, 2^{48721897224000} is an apocalyptic number.

48721897224000 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 48721897224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124958428987392).

48721897224000 is an abundant number, since it is smaller than the sum of its proper divisors (201194960750784).

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

48721897224000 is a wasteful number, since it uses less digits than its factorization.

48721897224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 48721897224000 in words is "forty-eight trillion, seven hundred twenty-one billion, eight hundred ninety-seven million, two hundred twenty-four thousand".