10294978654840 has 512 divisors, whose sum is σ = 27572576256000. Its totient is φ = 3422051942400.

The previous prime is 10294978654837. The next prime is 10294978654841. The reversal of 10294978654840 is 4845687949201.

It is a super-2 number, since 2×10294978654840² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10294978654841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12725560356 + ... + 12725561164.

It is an arithmetic number, because the mean of its divisors is an integer number (53852688000).

Almost surely, 2^{10294978654840} is an apocalyptic number.

10294978654840 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 10294978654840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13786288128000).

10294978654840 is an abundant number, since it is smaller than the sum of its proper divisors (17277597601160).

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

10294978654840 is a wasteful number, since it uses less digits than its factorization.

10294978654840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 67.

The spelling of 10294978654840 in words is "ten trillion, two hundred ninety-four billion, nine hundred seventy-eight million, six hundred fifty-four thousand, eight hundred forty".