10102269585240 has 384 divisors, whose sum is σ = 38957068800000. Its totient is φ = 2221683655680.

The previous prime is 10102269585211. The next prime is 10102269585253. The reversal of 10102269585240 is 4258596220101.

10102269585240 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 2 + 2 + 69 + 585 + 2 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13141011 + ... + 13888509.

It is an arithmetic number, because the mean of its divisors is an integer number (101450700000).

Almost surely, 2^{10102269585240} is an apocalyptic number.

10102269585240 is a gapful number since it is divisible by the number (10) 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 10102269585240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19478534400000).

10102269585240 is an abundant number, since it is smaller than the sum of its proper divisors (28854799214760).

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

10102269585240 is a wasteful number, since it uses less digits than its factorization.

10102269585240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747727 (or 747720 counting only the distinct ones).

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

The spelling of 10102269585240 in words is "ten trillion, one hundred two billion, two hundred sixty-nine million, five hundred eighty-five thousand, two hundred forty".