10139776940700 has 576 divisors, whose sum is σ = 38571171287040. Its totient is φ = 2257099776000.

The previous prime is 10139776940693. The next prime is 10139776940729. The reversal of 10139776940700 is 704967793101.

10139776940700 is a `hidden beast` number, since 101 + 3 + 9 + 77 + 69 + 407 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 20455989 + ... + 20945811.

It is an arithmetic number, because the mean of its divisors is an integer number (66963839040).

Almost surely, 2^{10139776940700} is an apocalyptic number.

10139776940700 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 10139776940700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19285585643520).

10139776940700 is an abundant number, since it is smaller than the sum of its proper divisors (28431394346340).

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

10139776940700 is a wasteful number, since it uses less digits than its factorization.

10139776940700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489915 (or 489902 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The spelling of 10139776940700 in words is "ten trillion, one hundred thirty-nine billion, seven hundred seventy-six million, nine hundred forty thousand, seven hundred".