90486742500 has 720 divisors, whose sum is σ = 368841432960. Its totient is φ = 18144000000.

The previous prime is 90486742483. The next prime is 90486742517. The reversal of 90486742500 is 524768409.

It is a happy number.

90486742500 is a `hidden beast` number, since 9 + 0 + 48 + 67 + 42 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (90486742483) and next prime (90486742517).

It is a super-2 number, since 2×90486742500² (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 an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 50241600 + ... + 50243400.

It is an arithmetic number, because the mean of its divisors is an integer number (512279768).

Almost surely, 2^90486742500 is an apocalyptic number.

90486742500 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 90486742500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184420716480).

90486742500 is an abundant number, since it is smaller than the sum of its proper divisors (278354690460).

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

90486742500 is a wasteful number, since it uses less digits than its factorization.

90486742500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 90486742500 in words is "ninety billion, four hundred eighty-six million, seven hundred forty-two thousand, five hundred".