253698048000 has 1088 divisors, whose sum is σ = 994545776640. Its totient is φ = 63700992000.

The previous prime is 253698047983. The next prime is 253698048011. The reversal of 253698048000 is 840896352.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6856703982 + ... + 6856704018.

Almost surely, 2^253698048000 is an apocalyptic number.

253698048000 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 253698048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497272888320).

253698048000 is an abundant number, since it is smaller than the sum of its proper divisors (740847728640).

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

253698048000 is an frugal number, since it uses more digits than its factorization.

253698048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 253698048000 in words is "two hundred fifty-three billion, six hundred ninety-eight million, forty-eight thousand".