49681327021920 has 2592 divisors, whose sum is σ = 205496747977248. Its totient is φ = 11340431308800.

The previous prime is 49681327021903. The next prime is 49681327022003. The reversal of 49681327021920 is 2912072318694.

49681327021920 is a `hidden beast` number, since 4 + 9 + 6 + 81 + 327 + 0 + 219 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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 polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1342738568142 + ... + 1342738568178.

It is an arithmetic number, because the mean of its divisors is an integer number (79281152769).

Almost surely, 2^{49681327021920} is an apocalyptic number.

49681327021920 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 49681327021920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102748373988624).

49681327021920 is an abundant number, since it is smaller than the sum of its proper divisors (155815420955328).

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

49681327021920 is an frugal number, since it uses more digits than its factorization.

49681327021920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 49681327021920 in words is "forty-nine trillion, six hundred eighty-one billion, three hundred twenty-seven million, twenty-one thousand, nine hundred twenty".