10861947928496 has 320 divisors, whose sum is σ = 25217885952000. Its totient is φ = 4529218176000.

The previous prime is 10861947928459. The next prime is 10861947928561. The reversal of 10861947928496 is 69482974916801.

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, 10535351501 + ... + 10535352531.

It is an arithmetic number, because the mean of its divisors is an integer number (78805893600).

Almost surely, 2^{10861947928496} is an apocalyptic number.

10861947928496 is a gapful number since it is divisible by the number (16) 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 10861947928496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12608942976000).

10861947928496 is an abundant number, since it is smaller than the sum of its proper divisors (14355938023504).

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

10861947928496 is a wasteful number, since it uses less digits than its factorization.

10861947928496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 74.

The spelling of 10861947928496 in words is "ten trillion, eight hundred sixty-one billion, nine hundred forty-seven million, nine hundred twenty-eight thousand, four hundred ninety-six".