49328859060000 has 4320 divisors, whose sum is σ = 216315675576000. Its totient is φ = 11004844032000.

The previous prime is 49328859059993. The next prime is 49328859060031. The reversal of 49328859060000 is 6095882394.

49328859060000 = 6735³ + 6736³ + ... + 6890³.

49328859060000 is a `hidden beast` number, since 4 + 9 + 3 + 28 + 8 + 5 + 9 + 0 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×49328859060000² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 452558339946 + ... + 452558340054.

It is an arithmetic number, because the mean of its divisors is an integer number (50073073050).

Almost surely, 2^{49328859060000} is an apocalyptic number.

49328859060000 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 49328859060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108157837788000).

49328859060000 is an abundant number, since it is smaller than the sum of its proper divisors (166986816516000).

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

49328859060000 is a wasteful number, since it uses less digits than its factorization.

49328859060000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 49328859060000 in words is "forty-nine trillion, three hundred twenty-eight billion, eight hundred fifty-nine million, sixty thousand".