8025156000 has 960 divisors, whose sum is σ = 32878669824. Its totient is φ = 1907712000.

The previous prime is 8025155981. The next prime is 8025156037. The reversal of 8025156000 is 6515208.

8025156000 is a `hidden beast` number, since 8 + 0 + 2 + 51 + 5 + 600 + 0 = 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 159 ways as a sum of consecutive naturals, for example, 170747977 + ... + 170748023.

Almost surely, 2^8025156000 is an apocalyptic number.

8025156000 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 8025156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16439334912).

8025156000 is an abundant number, since it is smaller than the sum of its proper divisors (24853513824).

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

8025156000 is a wasteful number, since it uses less digits than its factorization.

8025156000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 8025156000 is about 89583.2350387058. The cubic root of 8025156000 is about 2002.0941398572.

It can be divided in two parts, 8025 and 156000, that added together give a square (164025 = 405²).

The spelling of 8025156000 in words is "eight billion, twenty-five million, one hundred fifty-six thousand".