10020977136720 has 480 divisors, whose sum is σ = 38155928114304. Its totient is φ = 2424034252800.

The previous prime is 10020977136679. The next prime is 10020977136733. The reversal of 10020977136720 is 2763177902001.

10020977136720 is a `hidden beast` number, since 10 + 0 + 209 + 7 + 71 + 367 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98529414 + ... + 98631066.

Almost surely, 2^{10020977136720} is an apocalyptic number.

10020977136720 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 10020977136720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19077964057152).

10020977136720 is an abundant number, since it is smaller than the sum of its proper divisors (28134950977584).

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

10020977136720 is a wasteful number, since it uses less digits than its factorization.

10020977136720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102153 (or 102135 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 10020977136720 in words is "ten trillion, twenty billion, nine hundred seventy-seven million, one hundred thirty-six thousand, seven hundred twenty".