276230972160 has 864 divisors, whose sum is σ = 1138692679488. Its totient is φ = 60940615680.

The previous prime is 276230972131. The next prime is 276230972167. The reversal of 276230972160 is 61279032672.

276230972160 is a `hidden beast` number, since 2 + 7 + 623 + 0 + 9 + 7 + 2 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (276230972167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120256132 + ... + 120258428.

It is an arithmetic number, because the mean of its divisors is an integer number (1317931342).

Almost surely, 2^276230972160 is an apocalyptic number.

276230972160 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 276230972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569346339744).

276230972160 is an abundant number, since it is smaller than the sum of its proper divisors (862461707328).

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

276230972160 is a wasteful number, since it uses less digits than its factorization.

276230972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 276230972160 in words is "two hundred seventy-six billion, two hundred thirty million, nine hundred seventy-two thousand, one hundred sixty".