248400172800 has 2160 divisors, whose sum is σ = 1081973249280. Its totient is φ = 55738368000.

The previous prime is 248400172781. The next prime is 248400172819. The reversal of 248400172800 is 8271004842.

248400172800 is a `hidden beast` number, since 2 + 4 + 8 + 400 + 172 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (248400172781) and next prime (248400172819).

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6058540780 + ... + 6058540820.

Almost surely, 2^248400172800 is an apocalyptic number.

248400172800 is a gapful number since it is divisible by the number (20) 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 248400172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540986624640).

248400172800 is an abundant number, since it is smaller than the sum of its proper divisors (833573076480).

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

248400172800 is a wasteful number, since it uses less digits than its factorization.

248400172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

It can be divided in two parts, 2484001 and 72800, that added together give a square (2556801 = 1599²).

The spelling of 248400172800 in words is "two hundred forty-eight billion, four hundred million, one hundred seventy-two thousand, eight hundred".