70820827270875 has 768 divisors, whose sum is σ = 155470049280000. Its totient is φ = 31801429440000.

The previous prime is 70820827270829. The next prime is 70820827270883. The reversal of 70820827270875 is 57807272802807.

70820827270875 is a `hidden beast` number, since 70 + 8 + 208 + 27 + 270 + 8 + 75 = 666.

It is not a de Polignac number, because 70820827270875 - 2⁶ = 70820827270811 is a prime.

It is a super-2 number, since 2×70820827270875² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 77062923666 + ... + 77062924584.

It is an arithmetic number, because the mean of its divisors is an integer number (202434960000).

Almost surely, 2^{70820827270875} is an apocalyptic number.

70820827270875 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

70820827270875 is an abundant number, since it is smaller than the sum of its proper divisors (84649222009125).

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

70820827270875 is a wasteful number, since it uses less digits than its factorization.

70820827270875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 49172480, while the sum is 63.

The spelling of 70820827270875 in words is "seventy trillion, eight hundred twenty billion, eight hundred twenty-seven million, two hundred seventy thousand, eight hundred seventy-five".