10610150972400 has 360 divisors, whose sum is σ = 42164574608000. Its totient is φ = 2420314421760.

The previous prime is 10610150972263. The next prime is 10610150972429. The reversal of 10610150972400 is 427905101601.

10610150972400 is a `hidden beast` number, since 1 + 0 + 6 + 10 + 150 + 97 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×10610150972400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12152919 + ... + 12996681.

Almost surely, 2^{10610150972400} is an apocalyptic number.

10610150972400 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 10610150972400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21082287304000).

10610150972400 is an abundant number, since it is smaller than the sum of its proper divisors (31554423635600).

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

10610150972400 is a wasteful number, since it uses less digits than its factorization.

10610150972400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844293 (or 844279 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 10610150972400 in words is "ten trillion, six hundred ten billion, one hundred fifty million, nine hundred seventy-two thousand, four hundred".