825701555040 has 48 divisors (see below), whose sum is σ = 2600959899888. Its totient is φ = 220187081216.

The previous prime is 825701555027. The next prime is 825701555051. The reversal of 825701555040 is 40555107528.

825701555040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 825701554983 and 825701555001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 860105307 + ... + 860106266.

It is an arithmetic number, because the mean of its divisors is an integer number (54186664581).

Almost surely, 2^825701555040 is an apocalyptic number.

825701555040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

825701555040 is an abundant number, since it is smaller than the sum of its proper divisors (1775258344848).

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

825701555040 is a wasteful number, since it uses less digits than its factorization.

825701555040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720211591 (or 1720211583 counting only the distinct ones).

The product of its (nonzero) digits is 280000, while the sum is 42.

The spelling of 825701555040 in words is "eight hundred twenty-five billion, seven hundred one million, five hundred fifty-five thousand, forty".