261607152000 has 1024 divisors, whose sum is σ = 979955159040. Its totient is φ = 61384294400.

The previous prime is 261607151989. The next prime is 261607152011. The reversal of 261607152000 is 251706162.

It is an interprime number because it is at equal distance from previous prime (261607151989) and next prime (261607152011).

It is a super-2 number, since 2×261607152000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 994703869 + ... + 994704131.

It is an arithmetic number, because the mean of its divisors is an integer number (956987460).

Almost surely, 2^261607152000 is an apocalyptic number.

261607152000 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 261607152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489977579520).

261607152000 is an abundant number, since it is smaller than the sum of its proper divisors (718348007040).

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

261607152000 is a wasteful number, since it uses less digits than its factorization.

261607152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

Adding to 261607152000 its reverse (251706162), we get a palindrome (261858858162).

The spelling of 261607152000 in words is "two hundred sixty-one billion, six hundred seven million, one hundred fifty-two thousand".