10377305902080 has 1320 divisors, whose sum is σ = 40668584536272. Its totient is φ = 2525712482304.

The previous prime is 10377305902001. The next prime is 10377305902097. The reversal of 10377305902080 is 8020950377301.

It is a happy number.

10377305902080 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 7 + 30 + 590 + 20 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 116598942676 + ... + 116598942764.

Almost surely, 2^{10377305902080} is an apocalyptic number.

10377305902080 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 10377305902080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20334292268136).

10377305902080 is an abundant number, since it is smaller than the sum of its proper divisors (30291278634192).

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

10377305902080 is an frugal number, since it uses more digits than its factorization.

10377305902080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 10377305902080 in words is "ten trillion, three hundred seventy-seven billion, three hundred five million, nine hundred two thousand, eighty".