90471377520 has 160 divisors (see below), whose sum is σ = 311734363200. Its totient is φ = 24117129216.

The previous prime is 90471377509. The next prime is 90471377527. The reversal of 90471377520 is 2577317409.

90471377520 is a `hidden beast` number, since 9 + 0 + 47 + 13 + 77 + 520 = 666.

It is a super-2 number, since 2×90471377520² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90471377527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8135484 + ... + 8146596.

It is an arithmetic number, because the mean of its divisors is an integer number (1948339770).

Almost surely, 2^90471377520 is an apocalyptic number.

90471377520 is a gapful number since it is divisible by the number (90) 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 90471377520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155867181600).

90471377520 is an abundant number, since it is smaller than the sum of its proper divisors (221262985680).

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

90471377520 is a wasteful number, since it uses less digits than its factorization.

90471377520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14904 (or 14892 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 90471377520 in words is "ninety billion, four hundred seventy-one million, three hundred seventy-seven thousand, five hundred twenty".