248578029000 has 1152 divisors, whose sum is σ = 1051683160320. Its totient is φ = 52609536000.

The previous prime is 248578028999. The next prime is 248578029013. The reversal of 248578029000 is 920875842.

248578029000 is a `hidden beast` number, since 2 + 485 + 7 + 80 + 2 + 90 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 532286767 + ... + 532287233.

It is an arithmetic number, because the mean of its divisors is an integer number (912919410).

Almost surely, 2^248578029000 is an apocalyptic number.

248578029000 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 248578029000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525841580160).

248578029000 is an abundant number, since it is smaller than the sum of its proper divisors (803105131320).

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

248578029000 is a wasteful number, since it uses less digits than its factorization.

248578029000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 248578029000 in words is "two hundred forty-eight billion, five hundred seventy-eight million, twenty-nine thousand".