261012151008 has 576 divisors, whose sum is σ = 939681388800. Its totient is φ = 70082288640.

The previous prime is 261012150991. The next prime is 261012151021. The reversal of 261012151008 is 800151210162.

261012151008 is a `hidden beast` number, since 26 + 1 + 0 + 121 + 510 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105373066 + ... + 105375542.

It is an arithmetic number, because the mean of its divisors is an integer number (1631391300).

Almost surely, 2^261012151008 is an apocalyptic number.

261012151008 is a gapful number since it is divisible by the number (28) 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 261012151008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469840694400).

261012151008 is an abundant number, since it is smaller than the sum of its proper divisors (678669237792).

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

261012151008 is a wasteful number, since it uses less digits than its factorization.

261012151008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 261012151008 in words is "two hundred sixty-one billion, twelve million, one hundred fifty-one thousand, eight".