245961256320 has 1152 divisors, whose sum is σ = 1004066612640. Its totient is φ = 57187565568.

The previous prime is 245961256291. The next prime is 245961256391. The reversal of 245961256320 is 23652169542.

245961256320 is a `hidden beast` number, since 2 + 4 + 5 + 9 + 6 + 1 + 2 + 5 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×245961256320² (a number of 24 digits) contains 22 as substring.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 729855192 + ... + 729855528.

Almost surely, 2^245961256320 is an apocalyptic number.

245961256320 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 245961256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502033306320).

245961256320 is an abundant number, since it is smaller than the sum of its proper divisors (758105356320).

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

245961256320 is a wasteful number, since it uses less digits than its factorization.

245961256320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 245961256320 in words is "two hundred forty-five billion, nine hundred sixty-one million, two hundred fifty-six thousand, three hundred twenty".