10116657540 has 576 divisors, whose sum is σ = 37806048000. Its totient is φ = 2235340800.

The previous prime is 10116657527. The next prime is 10116657553. The reversal of 10116657540 is 4575661101.

It is a happy number.

10116657540 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 66 + 57 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (10116657527) and next prime (10116657553).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10116657495 and 10116657504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36002200 + ... + 36002480.

It is an arithmetic number, because the mean of its divisors is an integer number (65635500).

Almost surely, 2^10116657540 is an apocalyptic number.

10116657540 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 10116657540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18903024000).

10116657540 is an abundant number, since it is smaller than the sum of its proper divisors (27689390460).

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

10116657540 is a wasteful number, since it uses less digits than its factorization.

10116657540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 10116657540 in words is "ten billion, one hundred sixteen million, six hundred fifty-seven thousand, five hundred forty".