48998009894400 has 2100 divisors, whose sum is σ = 212431010989692. Its totient is φ = 11199545118720.

The previous prime is 48998009894333. The next prime is 48998009894429. The reversal of 48998009894400 is 449890089984.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

48998009894400 is a `hidden beast` number, since 4 + 8 + 9 + 98 + 0 + 0 + 98 + 9 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2100).

It is a super-2 number, since 2×48998009894400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 56700 × 15876 × 54432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 6999715699197 + ... + 6999715699203.

Almost surely, 2^{48998009894400} is an apocalyptic number.

48998009894400 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 48998009894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106215505494846).

48998009894400 is an abundant number, since it is smaller than the sum of its proper divisors (163433001095292).

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

48998009894400 is an frugal number, since it uses more digits than its factorization.

48998009894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 72.

The spelling of 48998009894400 in words is "forty-eight trillion, nine hundred ninety-eight billion, nine million, eight hundred ninety-four thousand, four hundred".