102490553088 has 648 divisors, whose sum is σ = 391564992000. Its totient is φ = 25042452480.

The previous prime is 102490553041. The next prime is 102490553131. The reversal of 102490553088 is 880355094201.

102490553088 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 90 + 553 + 0 + 8 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51269913 + ... + 51271911.

Almost surely, 2^102490553088 is an apocalyptic number.

102490553088 is a gapful number since it is divisible by the number (18) 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 102490553088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195782496000).

102490553088 is an abundant number, since it is smaller than the sum of its proper divisors (289074438912).

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

102490553088 is a wasteful number, since it uses less digits than its factorization.

102490553088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 102490553088 in words is "one hundred two billion, four hundred ninety million, five hundred fifty-three thousand, eighty-eight".