85154457120 has 96 divisors (see below), whose sum is σ = 273943772928. Its totient is φ = 22224703488.

The previous prime is 85154457107. The next prime is 85154457131. The reversal of 85154457120 is 2175445158.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1864729 + ... + 1909848.

It is an arithmetic number, because the mean of its divisors is an integer number (2853580968).

Almost surely, 2^85154457120 is an apocalyptic number.

85154457120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85154457120 is an abundant number, since it is smaller than the sum of its proper divisors (188789315808).

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

85154457120 is a wasteful number, since it uses less digits than its factorization.

85154457120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3774642 (or 3774634 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 42.

The spelling of 85154457120 in words is "eighty-five billion, one hundred fifty-four million, four hundred fifty-seven thousand, one hundred twenty".