10077946398135 has 384 divisors, whose sum is σ = 23061563965440. Its totient is φ = 4100586508800.

The previous prime is 10077946398109. The next prime is 10077946398161. The reversal of 10077946398135 is 53189364977001.

10077946398135 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 79 + 46 + 398 + 135 = 666.

10077946398135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10077946398109) and next prime (10077946398161).

It is not a de Polignac number, because 10077946398135 - 2¹⁸ = 10077946135991 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1272624706 + ... + 1272632624.

It is an arithmetic number, because the mean of its divisors is an integer number (60056156160).

Almost surely, 2^{10077946398135} is an apocalyptic number.

10077946398135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10077946398135 is an abundant number, since it is smaller than the sum of its proper divisors (12983617567305).

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

10077946398135 is a wasteful number, since it uses less digits than its factorization.

10077946398135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8241 (or 8229 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 10077946398135 in words is "ten trillion, seventy-seven billion, nine hundred forty-six million, three hundred ninety-eight thousand, one hundred thirty-five".