245926886400 has 792 divisors, whose sum is σ = 983712444624. Its totient is φ = 60515942400.

The previous prime is 245926886389. The next prime is 245926886423. The reversal of 245926886400 is 4688629542.

245926886400 is a `hidden beast` number, since 2 + 4 + 592 + 6 + 8 + 8 + 6 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80868880 + ... + 80871920.

Almost surely, 2^245926886400 is an apocalyptic number.

245926886400 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 245926886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491856222312).

245926886400 is an abundant number, since it is smaller than the sum of its proper divisors (737785558224).

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

245926886400 is a wasteful number, since it uses less digits than its factorization.

245926886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3099 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 245926886400 in words is "two hundred forty-five billion, nine hundred twenty-six million, eight hundred eighty-six thousand, four hundred".