48967988966400 has 1584 divisors, whose sum is σ = 201883419705600. Its totient is φ = 10399871139840.

The previous prime is 48967988966371. The next prime is 48967988966431. The reversal of 48967988966400 is 466988976984.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5053972756 + ... + 5053982444.

Almost surely, 2^{48967988966400} is an apocalyptic number.

48967988966400 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 48967988966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100941709852800).

48967988966400 is an abundant number, since it is smaller than the sum of its proper divisors (152915430739200).

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

48967988966400 is a wasteful number, since it uses less digits than its factorization.

48967988966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9832 (or 9802 counting only the distinct ones).

The product of its (nonzero) digits is 9029615616, while the sum is 84.

The spelling of 48967988966400 in words is "forty-eight trillion, nine hundred sixty-seven billion, nine hundred eighty-eight million, nine hundred sixty-six thousand, four hundred".