10010553154140 has 192 divisors, whose sum is σ = 34950752363520. Its totient is φ = 2079827957760.

The previous prime is 10010553154123. The next prime is 10010553154237. The reversal of 10010553154140 is 4145135501001.

It is a super-2 number, since 2×10010553154140² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10010553154098 and 10010553154107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34194706 + ... + 34486214.

It is an arithmetic number, because the mean of its divisors is an integer number (182035168560).

Almost surely, 2^{10010553154140} is an apocalyptic number.

10010553154140 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 10010553154140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17475376181760).

10010553154140 is an abundant number, since it is smaller than the sum of its proper divisors (24940199209380).

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

10010553154140 is a wasteful number, since it uses less digits than its factorization.

10010553154140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298972 (or 298970 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

Adding to 10010553154140 its reverse (4145135501001), we get a palindrome (14155688655141).

The spelling of 10010553154140 in words is "ten trillion, ten billion, five hundred fifty-three million, one hundred fifty-four thousand, one hundred forty".