10248897600 has 420 divisors, whose sum is σ = 38902851328. Its totient is φ = 2643840000.

The previous prime is 10248897577. The next prime is 10248897613. The reversal of 10248897600 is 679884201.

10248897600 is a `hidden beast` number, since 10 + 24 + 8 + 8 + 9 + 7 + 600 = 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 59 ways as a sum of consecutive naturals, for example, 4016325 + ... + 4018875.

Almost surely, 2^10248897600 is an apocalyptic number.

10248897600 is a gapful number since it is divisible by the number (10) 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 10248897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19451425664).

10248897600 is an abundant number, since it is smaller than the sum of its proper divisors (28653953728).

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

10248897600 is a wasteful number, since it uses less digits than its factorization.

10248897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2616 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10248897600 in words is "ten billion, two hundred forty-eight million, eight hundred ninety-seven thousand, six hundred".