868156740000 has 1440 divisors, whose sum is σ = 3625371509760. Its totient is φ = 194745600000.

The previous prime is 868156739971. The next prime is 868156740013. The reversal of 868156740000 is 47651868.

It is a happy number.

868156740000 is a `hidden beast` number, since 8 + 6 + 81 + 567 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×868156740000² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1768139755 + ... + 1768140245.

It is an arithmetic number, because the mean of its divisors is an integer number (2517619104).

Almost surely, 2^868156740000 is an apocalyptic number.

868156740000 is a gapful number since it is divisible by the number (80) 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 868156740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812685754880).

868156740000 is an abundant number, since it is smaller than the sum of its proper divisors (2757214769760).

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

868156740000 is a wasteful number, since it uses less digits than its factorization.

868156740000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 868156740000 in words is "eight hundred sixty-eight billion, one hundred fifty-six million, seven hundred forty thousand".