10051676544 has 576 divisors, whose sum is σ = 35110746000. Its totient is φ = 2536095744.

The previous prime is 10051676497. The next prime is 10051676549. The reversal of 10051676544 is 44567615001.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10051676549) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92217162 + ... + 92217270.

Almost surely, 2^10051676544 is an apocalyptic number.

10051676544 is a gapful number since it is divisible by the number (14) 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 10051676544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17555373000).

10051676544 is an abundant number, since it is smaller than the sum of its proper divisors (25059069456).

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

10051676544 is a wasteful number, since it uses less digits than its factorization.

10051676544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 10051676544 in words is "ten billion, fifty-one million, six hundred seventy-six thousand, five hundred forty-four".