1825527132000 has 2880 divisors, whose sum is σ = 8332174154304. Its totient is φ = 385689600000.

The previous prime is 1825527131957. The next prime is 1825527132047. The reversal of 1825527132000 is 2317255281.

1825527132000 is a `hidden beast` number, since 1 + 8 + 2 + 552 + 71 + 32 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 44525051980 + ... + 44525052020.

Almost surely, 2^{1825527132000} is an apocalyptic number.

1825527132000 is a gapful number since it is divisible by the number (10) 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 1825527132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4166087077152).

1825527132000 is an abundant number, since it is smaller than the sum of its proper divisors (6506647022304).

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

1825527132000 is a wasteful number, since it uses less digits than its factorization.

1825527132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 1825527132000 in words is "one trillion, eight hundred twenty-five billion, five hundred twenty-seven million, one hundred thirty-two thousand".