261848496000 has 1024 divisors, whose sum is σ = 1078125834240. Its totient is φ = 54743040000.

The previous prime is 261848495983. The next prime is 261848496017. The reversal of 261848496000 is 694848162.

It is an interprime number because it is at equal distance from previous prime (261848495983) and next prime (261848496017).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 659567802 + ... + 659568198.

It is an arithmetic number, because the mean of its divisors is an integer number (1052857260).

Almost surely, 2^261848496000 is an apocalyptic number.

261848496000 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 261848496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539062917120).

261848496000 is an abundant number, since it is smaller than the sum of its proper divisors (816277338240).

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

261848496000 is a wasteful number, since it uses less digits than its factorization.

261848496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 261848496000 in words is "two hundred sixty-one billion, eight hundred forty-eight million, four hundred ninety-six thousand".